IXL - Multiply two matrices (Precalculus practice)

–

and

–

what is

If the matrix exists, select its size before entering your answer. If the matrix does not exist, select undefined.

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question

–

and

what is

If the matrix exists, select its size before entering your answer. If the matrix does not exist, select undefined.

key idea

A matrix product exists if and only if the number of columns in the first matrix equals the number of rows in the second matrix. If

has dimensions

and

has dimensions

then

has dimensions

(

)

(

)

solution

Since

–

and

are square matrices with the same number of rows and columns, you can multiply them.

will also be a square matrix with 2 rows and 2 columns.

Find the element in the

^st

row and

^st

column of

Multiply each element in the

^st

row of

by the corresponding element in the

^st

column of

Then, add the products.

–

(

)

(

–

)

(

)

–

Apply a similar process to find the element in the

^st

row and

^nd

column of

–

(

)

(

–

)

(

)

–

Repeat this process to calculate the remaining elements of

–

So,

–

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Q.2Matrix operation rules

A.4Add and subtract integers

A.8Multiply and divide integers

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