Answered: "A=[101020],B=[141021] Find C21 and C13 , where C=2A-3B"

Alyce Wilkinson

Answered question

2021-02-24

A = [\begin{matrix} 1 & 0 & 1 \\ 0 & 2 & 0 \end{matrix}], B = [\begin{matrix} 1 & 4 & 1 \\ 0 & 2 & 1 \end{matrix}]

Find

C_{21} and C_{13}

, where C=2A-3B

Answer & Explanation

Sadie Eaton

Skilled2021-02-25Added 104 answers

Step 1
Given matrices

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

B = [\begin{matrix} 1 & 4 & 1 \\ 0 & 2 & 1 \end{matrix}]

Step 2
Now to find
C =2A-3B

C = 2 [\begin{matrix} 1 & 0 & 1 \\ 0 & 2 & 0 \end{matrix}] - 3 [\begin{matrix} 1 & 4 & 1 \\ 0 & 2 & 1 \end{matrix}]

= [\begin{matrix} 2 & 0 & 2 \\ 0 & 4 & 0 \end{matrix}] - [\begin{matrix} 3 & 12 & 3 \\ 0 & 6 & 3 \end{matrix}]

= [\begin{matrix} - 1 & - 12 & - 1 \\ 0 & - 2 & - 3 \end{matrix}]

C_{21}

= second row first element = 0

C_{13}

= first row third element = -1

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