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C3,4],c5,6]] [tl9,gg3,c43,50 – HP 38g Graphing Calculator User Manual

Page 137

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Multiplying

Two Matrices

Multiplication of two matrices is

not commutative. The

number of columns of the first matrix must equal the number

of rows of the second matrix.

Assume that Ml still contains [[1,2],[3,4]] and M2 still

contains [[5,6],[7,8]].

|A...z[M 1 0 [A...z|M 2

ENTER

Rns/2

m*M2

[ C 3 , 4 ] , C 5 , 6 ] ]

[ t l 9 , g g 3 , C 4 3 , 5 0 ] ]

Bévili

Dividing by a

Square Matrix

The result has the same number of rows as the first matrix and

the same number of columns as the second matrix.

To multiply a matrix by a vector, enter the matrix first, then

the vector. The number of elements in the vector must equal

the number of columns in the matrix.

For division of a matrix or a vector by a square matrix, the

number of rows of the dividend (or the number of elements,

if it is a vector) must equal the number of rows in the divisor.

Assume that Ml still contains [[1,2],[3,4]] and M2 still

contains [[5,6],[7,8]].

|A...z|M 1 0 |A...z|M 2

ENTER

The result is M2 * M 1 .

mm

M1*M2

Cn9,22],C43,5033

M1/M2

__________[ [ 5 , 4 ] , [ - 4 , - 3 3 3

Inverting a You can invert a

square matrix

in Home by typing the matrix

Matrix

(or its variable name) and pressing ■ [x“'] |

enter

].

(Or you

can enter

INVERSE

(matrixname)

in Home.)

Negating Each You can change the sign of each element in a matrix by

Element

pressing | - x | before the matrix name.

Using Matrices 6-7