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Let {M} be a {3}{3} matrix satisfying {M}{[{array}{c} {0}{1}{0

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Let $M$ be a $3 \times 3$ matrix satisfying $M ⎣ ⎡ 010 ⎦ ⎤ = ⎣ ⎡ - 1 23 ⎦ ⎤$ , $M ⎣ ⎡ 1 - 1 0 ⎦ ⎤ = ⎣ ⎡ 11 - 1 ⎦ ⎤$ ,and $M ⎣ ⎡ 111 ⎦ ⎤ = ⎣ ⎡ 0012 ⎦ ⎤$ Then the sum of the diagonal entries of $M$ is _________.

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Evelyn Discussed

Let

M

be a

3 \times 3

matrix satisfying

M ⎣ ⎡ 010 ⎦ ⎤ = ⎣ ⎡ - 1 23 ⎦ ⎤

M ⎣ ⎡ 1 - 1 0 ⎦ ⎤ = ⎣ ⎡ 11 - 1 ⎦ ⎤

,and

M ⎣ ⎡ 111 ⎦ ⎤ = ⎣ ⎡ 0012 ⎦ ⎤

Then the sum of the diagonal entries of

M

is _________.

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Question Text	Let $M$ be a $3 \times 3$ matrix satisfying $M ⎣ ⎡ 010 ⎦ ⎤ = ⎣ ⎡ - 1 23 ⎦ ⎤$ , $M ⎣ ⎡ 1 - 1 0 ⎦ ⎤ = ⎣ ⎡ 11 - 1 ⎦ ⎤$ ,and $M ⎣ ⎡ 111 ⎦ ⎤ = ⎣ ⎡ 0012 ⎦ ⎤$ Then the sum of the diagonal entries of $M$ is _________.
Answer Type	Video solution: 1
Upvotes	150