IXL - Simplify matrix expressions (Algebra 2 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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Learn with an example

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

To multiply a matrix by a scalar, multiply each element of the matrix by the scalar.

To add two matrices with the same dimensions, add their corresponding elements. If two matrices have different dimensions, their sum is undefined.

solution

Before adding

and

first calculate

–

Multiply each element of

–

(

–

)

–

(

–

)

–

(

)

–

(

–

)

–

(

)

–

(

–

)

Multiply each element of

–

and

have the same dimensions

(

so you can add them.

–

Add corresponding elements

–

Add corresponding elements

–

Looking for more? Try this:

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Teacher tools

Work it out

Not feeling ready yet? These can help:

TT.6Multiply two matrices

TT.5Add and subtract scalar multiples of matrices

K.6Evaluate multi-variable expressions

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