MathAlgebraLinear algebraMatrices

Matrix inverse properties

Scalar multiplication

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Calculate the following:(0.25×(1000010000100001))1\Bigg(-0.25\times\begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \end{pmatrix}\Bigg)^{-1}Write the resulting matrix to the answer field.

Tip: Use the invertible matrix property about scalar multiplication.

Tip: What is an inverse of an identity matrix? You can remember the answer to this question from a certain previous task. Or you can just figure it out yourself.

Tip: Remember that 0.25-0.25 is a fractional number. Write it as a fraction.

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