IXL - Add and subtract scalar multiples of 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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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 subtract two matrices with the same dimensions, subtract their corresponding elements. If two matrices have different dimensions, their difference is undefined.

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solution

Before subtracting

from

first calculate

–

Multiply each element of

(

)

(

–

)

(

–

)

(

–

)

Multiply each element of

–

and

have the same dimensions

(

so you can subtract them.

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Subtract corresponding elements

–

Subtract corresponding elements

–

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Not feeling ready yet? These can help:

Q.3Add and subtract matrices

Q.4Multiply a matrix by a scalar

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