SCIENTIFIC CALCULATOR CASIO fx 570MS

MATRICES

Mode Transposition
matrices of matrix

Creating Determinant
matrix and of matrix
edit matrix
Operation of
matrix

Inverse
matrix

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MATRICES

• The element of matrix A is denoted as , where i and j is the number
of row and column of matrix A respectively.

• The order of matrix A is defined by × , where m and n is the total
number of row and column of matrix A respectively.

Column 1 Column 2 Column 3

MATRIX (3X3) COMMONLY  a11 a12 a13  Row 1
WRITTEN AS: A   a21 a22 a23  Row 2
Row 3
 a31 a32 a33 

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MODE OF MATRIX

Press MODE button 3 time you will find MAT mode at second option, then

2

press .

EQN MAT VC2T
1 23

MODE

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MATRIX CALCULATIONS

Press (SHIFT) then (MAT) , you will find this three option.

Dim Edit Mat Dim Used to creating the matrices with
Shift 1 2 3 1 define matrix dimension first and
then input the element of matrices.

Edit Used to edit the matrices
2

MAT Mat Used to display the matrix for
3 operation matrices

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MATRIX CALCULATIONS

Press (SHIFT) (MAT) , you will find this two option.

Det Trn Det Used to find the determinant of
Shift 1 2 1 matrices.

Trn Used to transpose the matrices
2

MAT

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CREATING A Example:  1  5 ROWS: 3
MATRIX A 0 7 COLUMNS: 2
ORDER OF
  4 2  MATRICES: 3x2

SHIFT MATRIX DIMENSION ELEMENT OF MATRIX
MAT Dim NAME m : no. rows ;
MatA12
1 A(1) n: no. columns
MatA22
MatA(mxn) m ? MatA11
MatA32
MatA(mxn) n ? MatA21
MatA31

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EDIT A MATRIX

Example:

Change the element of A12 =6

SHIFT MATRIX ELEMENT OF MATRIX
MAT Edit NAME

2 A(1)

MatA12

Use the cursor keys to move about
the matrix in

order to edit its elements.

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OPERATIONS OF MATRIX: ADDITION OF MATRICES

Example: Remember that two
matrix can be add or
Find the sum of following matrix below: subtracted only if
they have the same
 1 6  1  4 order.
 0 7   4 1 
  4 2   3 2 

AB

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CREATING A  1  4 ROWS: 3
MATRIX B 4 1  COLUMNS: 2
ORDER OF
SHIFT MATRIX   3 2  MATRICES: 3 x2
MAT Dim NAME
DIMENSION ELEMENT OF MATRIX
1 B(2) m : no. rows ;
n: no. columns MatB12

MatB(mxn) m ? MatB11 MatB22

MatB(mxn) n ? MatB21 MatB32
MatB31

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Press SHIFT MATRIX Use your cursor keys
MAT Mat NAME DISPLAY to move in order to
view each elements
3 A(1) for the answers.

Mat A DISPLAY ANSWERS

OPERATOR Mat A + Mat B MatAns11 = 2 MatAns12 = 2

MATRIX MatAns21 = 4 MatAns22 = 8
SHIFT MAT Mat NAME DISPLAY
MatAns31 =-7 MatAns32 = 4
3 B(2)
 2 2
Mat B  4 8
  7 4

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OPERATIONS OF MATRIX: SUBTRACTION OF
MATRICES

Example: When use the
same element of
Find the subtraction of following matrix below: matrices, then no
need to create
 1 6  1  4 the new matrix.
 0 7   4 1 
  4 2   3 2 

AB

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Press SHIFT MATRIX DISPLAY Use your cursor keys
MAT Mat NAME to move in order to
Mat A view each elements
3 A(1) for the answers.

OPERATOR DISPLAY ANSWERS

Mat A - Mat B MatAns11 = 0 MatAns12 = 10

MATRIX DISPLAY MatAns21 = -4 MatAns22 = 6
SHIFT MAT Mat NAME
Mat B MatAns31 =-1 MatAns32 = 0
3 B(2)
0 10
−4 6
−1 0

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OPERATIONS OF MATRIX: MULTIPLICATION OF
MATRICES BY SCALAR NUMBER

Example: C   4 2 53 , then evaluate ×
1 2
Given that

When use the different element
of matrices, then create the
new matrix.

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CREATING A  4 2 5 ROWS: 2
MATRIX C    COLUMNS: 3

  ORDER OF
 1  2 3 MATRICES: 2x3

SHIFT MATRIX DIMENSION ELEMENT OF MATRIX
MAT Dim NAME m : no. rows ;
MatC12
1 C(3) n: no. columns

MatC(mxn) m ? MatC11

MatC(mxn) n ? MatC13 MatC21
MatC22 MatC23

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Press the scalar number Use your cursor keys
to move in order to
view each elements
for the answers.

Then, press OPERATOR DISPLAY

2 x Mat C ANSWERS
MatAns11 = 8 MatAns12 = 4 MatAns13 = 10
MATRIX MatAns21 = -2 MatAns22 = -4 MatAns23 = 6
MAT Mat NAME DISPLAY
SHIFT
3 C(3)
 8 4 10 
Mat C 2 4 6

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MULTIPLICATION OF TWO MATRICES

Example:

Find the multiplication of following matrix below:

 1  4   Two matrix B & matrix C can be

  4 2 5  multiplied only if the number of
 4 1  B C columns of matrix B is same as the

  number of rows of matrix C.
  3 2  1  2 3  The order of snaemwematrix after multiplied

3 X 2 same 2 X 3 matrix B and C equal to the number of
row of matrix B x number of column of

matrix C.

3X3

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Press SHIFT MATRIX Use your cursor keys
to move in order to
MAT Mat NAME DISPLAY view each elements
for the answers.
3 B(2)
ANSWERS
Mat B DISPLAY
MatAns11 = 8 MatAns12 = 10 MatAns12 = -7
OPERATOR Mat B x Mat C
MatAns21 = 15 MatAns22 = 6 MatAns22 = 23
MATRIX
SHIFT MAT Mat NAME DISPLAY MatAns31 = -14 MatAns32 =-1 0 MatAns32 = -9

3 C(3)  8 10  7
 15 6 23 
Mat C  14 10  9

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DETERMINANT OF MATRICES (2X2)

Example: 2 −1
4 3
Find the determinant of the matrix M=

 Determinant of matrix When use the different element
can be computed from of matrices, then create the
the elements of a new matrix.
square matrix.

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CREATING A M= 2 −1 ROWS: 2
MATRIX 4 3 COLUMNS: 2
ORDER OF
SHIFT MATRIX DIMENSION MATRICES: 2x2
MAT Dim NAME m : no. rows ;
ELEMENT OF MATRIX
1 A(1) n: no. columns
MatA12
MatA(mxn) m ? MatA11
MatA22
MatA21

MatA(mxn) n ?

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Press

SHIFT MAT CURSOR KEYS Det DISPLAY DISPLAY ANSWERS
1 10
Det DetMat A

Answer:

MATRIX DISPLAY det 2 31 =10
SHIFT MAT Mat NAME 4
Mat A
3 A(1)

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DETERMINANT OF MATRICES (3X3)

Example:  1 3 2  .
B 4 1 3
Find the determinant of the matrix

 2 2 0

 Determinant of matrix When use the different element
can be computed from of matrices, then create the
the elements of a new matrix.
square matrix.

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CREATING A 1 3 2 ROWS: 3
MATRIX B  4 1 3 COLUMNS: 3
ORDER OF
 2 2 0 MATRICES: 3x3

SHIFT MAT MATRIX DIMENSION ELEMENT OF MATRIX
Dim NAME m : no. rows ;
MatB12
1 B(2) n: no. columns

MatB(mxn) m? MatB11 MatB13

MatB21 MatB22 MatB23
MatB(mxn) n? MatB32 MatB33

MatB31

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SHIFT MAT CURSOR KEYS Det DISPLAY DISPLAY ANSWERS
1 24
DetMat B
Det

MATRIX Answer:

SHIFT MAT Mat NAME DISPLAY 1 3 2
det 4 1 3 =24
3 B(2) Mat B
 2 2 0

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TRANSPOSITION OF MATRICES

Example: When use the
same element of
Simplify the matrix below: matrices, then no
need to create
 1 3 2T the new matrix.
4 1 3
 2 2 0

B

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Press Use your cursor keys
to move in order to
SHIFT MAT CURSOR KEYS Trn DISPLAY DISPLAY view each elements
2 for the answers.

Trn TrnMat B ANSWERS

MATRIX MatAns11 = 1 MatAns12 =4 MatAns13 = 2
SHIFT MAT Mat NAME DISPLAY MatAns21 = 3 MatAns22 =1 MatAns23 = 2

3 B(2) MatAns31 = 2 MatAns32 = 3 MatAns33 = 0

Mat B 1 4 2
BT  3 1 2

 2 3 0

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INVERSE OF MATRICES (2X2)

Example:

For the matrix A   2 31 , find the inverse matrix:
4

A

When use the same element of
matrices, then no need to create

the new matrix.

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A 1 MATRIX 1

Press xMat NAME DISPLAY
3 A(1)
SHIFT MAT
Mat A
DISPLAY
ANSWERS Convert your answer from decimal places
MatA 1 MatAns11 = 3/10 MatAns12 =1/10 into fraction with press
MatAns21 = -2/5 MatAns22 = 1/5
Then, use your cursor keys to move in
order to view each elements for the
answers.

 3 1 
10 10
 1
  2 5 5

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INVERSE OF MATRICES (3X3)

Example:  1 3 2  , find the inverse matrix:
B 4 1 3 
For the matrix

 2 2 0

B

When use the same element of
matrices, then no need to create

the new matrix.

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B 1 Convert your answer from decimal places
into fraction with press
Press

MATRIX 1

xSHIFT MAT
Mat NAME DISPLAY

3 B(2)

Mat B Then, use your cursor keys to move in
order to view each elements for the
ANSWERS answers.

DISPLAY MatAns11 = -1/4 MatAns12 =1/6 MatAns13 = 7/24 11 7
MatAns21 = 1/4 MatAns22 =- 1/6 MatAns23 = 5/24 −4 6 24
MatB 1
MatAns31 = 1/4 MatAns32 = 1/6 MatAns33 = -11/24
B 1 = 1 1 5
4 −6 24
1 1 11
4 6 − 24

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CALCULATOR’S
RESET

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VECTOR

Mode vector Scalar (dot) Vector
product of (cross)
Creating two vectors product of
vector and two vectors
edit vector Operation of
vector Magnitude of
vector and
unit vector

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MODE OF VECTOR

Press MODE button 3 time you will find VCT mode at third option, then

3

press .

EQN MAT VCT
1 23

MODE

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VECTOR CALCULATION

Press (SHIFT) then (VCT) you will find this at three option.

Dim Edit Vct Dim Used to creating the vector with
Shift 1 2 3 1 define vector dimension first and
then input the element of the
VCT vector.

Edit Used to edit the element of the
2 vector.

Vct Used to display the vector for
3 operation vector.

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VECTOR CALCULATION

Press (SHIFT) (VCT) (right cursor keys) , you will find this at one option.

Dot Dot Dot operation which is used to
Shift 1 1 solve the dot product of vector.

VCT

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CREATING A   1  Dimension of
VECTOR Example: A    5 vector: 3

 1 ELEMENT OF VECTOR

VECTOR DIMENSION VctA1
SHIFT VCT Dim NAME m : Dimension of

1 A(1) Vector

Vct A(m) m ?

VctA2

VctA3

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EDIT A VECTOR

Example:

Change the element of A2 =3

VECTOR

SHIFT VCT Edit NAME ELEMENT OF MATRIX

2 A(1) VctA2

Use the cursor keys to move about
the matrix in

order to edit its elements.

79

OPERATIONS OF VECTOR: ADDITION OF VECTOR

Given that  and  , find

M  3i  2 j  6k N  5i  2 j  4k



M N

3i  2 j  6k   5i  2 j  4k  Remember that two
vector can be add or
MN subtracted only if
they have the same
dimension.

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CREATING A  Dimension of
vector: 3
VECTOR Example: M  3i  2 j  6k

VECTOR DIMENSION ELEMENT OF VECTOR
SHIFT VCT Dim NAME m : Dimension of
VctA1
1 A(1) Vector VctA2

Vct A(m) m ?

VctA3

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CRVEEACTTIONRG A Example:   5i  2 j  4k Dimension of
vector: 3
N

VECTOR DIMENSION ELEMENT OF VECTOR
SHIFT VCT Dim NAME m : Dimension of
VctB1
1 B(2) Vector VctB2

Vct B(m) m ?

VctB3

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VECTOR Use your cursor keys
to move in order to
Press SHIFT VCT Vct NAME DISPLAY DISPLAY view each elements
for the answers.
3 A(1) VctA

OPERATOR Vct A + Vct B ANSWERS
Vct Ans1 = 8

Vct Ans2 = -4

VECTOR Vct Ans3 =2

SHIFT VCT Vct NAME DISPLAY

3 B(2) VctB 

M N  8i  4 j  2k

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OPERATIONS OF VECTOR: SUBTRACTION OF

VECTOR

Example:  

Given that M  3i  2 j  6k and N  5i  2 j  4k , find

 When use the
same element of
M N

3i  2 j  6k   5i  2 j  4k  vector, then no
need to create

Remember that two the new vector.

A B vector can be add or

subtracted only if

they have the same

dimension.

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Press SHIFT VECTOR Use your cursor keys
to move in order to
VCT Vct NAME DISPLAY DISPLAY view each elements
for the answers.
3 A(1) VctA

OPERATOR ANSWERS
Vct Ans1 = -2
Vct A - Vct B
Vct Ans2 = 0

VECTOR Vct Ans3 = 10
SHIFT VCT Vct NAME
DISPLAY 
3 B(2)
M N  2i  10k
VctB

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OPERATIONS OF VECTOR: MULTIPLICATION OF
VECTOR BY SCALAR NUMBER

 Example: 

Given that C  3,  2 , then evaluate 2 × Ԧ

When use the different element
of vector, then create the new

vector.

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CREATING A C  3,  2 
VECTOR Dimension of
vector: 2

SHIFT VCT VECTOR DIMENSION ELEMENT OF VECTOR
Dim NAME m : Dimension
VctC1
1 C(3) of Vector VctC2

Vct C(m) m ?

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Press the scalar number Use your cursor keys
to move in order to
view each elements
for the answers.

Then, press OPERATOR

DISPLAY ANSWERS
Vct Ans1 = 6
2 x VctC Vct Ans2 = - 4

MATRIX DISPLAY 2 × Ԧ = , − @ −
SHIFT VCT Vct NAME
VctC
3 C(3)

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SCALAR (DOT) PRODUCT OF TWO VECTORS

Example:  

Given that OP  9i  3 j  8k and OQ  5i  4 j  4k , find

 When use the
different vector,
OP OQ then create the

9i  3 j  8k    5i  4 j  4k  new vector.

Remember that two

A B vector can be apply dot
product only if they

have the same

dimension.

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CREATING A  Dimension of
OP  9i  3 j  8k vector: 3
VECTOR

VECTOR DIMENSION ELEMENT OF VECTOR
SHIFT VCT Dim NAME m : Dimension of
VctA1
1 A(1) Vector VctA2

Vct A(m) m ?

VctA3

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CREATING A  Dimension of
VECTOR vector: 3
OQ  5i  4 j  4k

VECTOR DIMENSION ELEMENT OF VECTOR
SHIFT VCT Dim NAME m : Dimension of
VctB1
1 B(2) Vector VctB2

Vct B(m) m ?

VctB3

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Press SHIFT VCT VECTOR DISPLAY
Vct NAME
3 A(1) VctA DISPLAY

SHIFT VCT CURSOR KEYS Dot -25
1 OPERATOR
Vct A Vct B

VECTOR DISPLAY Answer:
SHIFT VCT Vct NAME
VctB 
3 B(2)
OP  OQ  25

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VECTOR (CROSS) PRODUCT OF TWO VECTORS

Example:  and  , find

Given that OP  9i  3 j  8k OQ  5i  4 j  4k

 When use the
same element of
OP OQ

9i  3 j  8k    5i  4 j  4k  vector, then no
need to create the

Remember that two vector new vector.

A B can be apply cross

product only if they have

the same dimension.

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