Best solutions to - "compute the indicated matrices (I2−D)2"

opatovaL

Answered question

2021-01-28

compute the indicated matrices

(I_{2} - D)^{2}

Answer & Explanation

yunitsiL

Skilled2021-01-29Added 108 answers

Step 1
Matrices:

D = [\begin{matrix} 0 & - 3 \\ - 2 & 1 \end{matrix}]

I_{2} = [\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}]

(I_{2} - D)^{2}

= {([\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}] - [\begin{matrix} 0 & - 3 \\ - 2 & 1 \end{matrix}])}^{2}

= {[\begin{matrix} 1 & 3 \\ 2 & 0 \end{matrix}]}^{2}

Step 2

= [\begin{matrix} 1 & 3 \\ 2 & 0 \end{matrix}] [\begin{matrix} 1 & 3 \\ 2 & 0 \end{matrix}]

= [\begin{matrix} 1 \cdot 1 + 3 \cdot 2 & 1 \cdot 3 \\ 2 \cdot 1 + 0 \cdot 2 & 2 \cdot 3 \end{matrix}]

= [\begin{matrix} 7 & 3 \\ 2 & 6 \end{matrix}]

This is required answer.

Jeffrey Jordon

Expert2022-01-23Added 2575 answers

Answer is given below (on video)

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