A problem on linear algebra

Question

If $M$ is a $3 \times 3$ matrix such that $$[ 0 ~~1 ~~2 ]M = [ 1 ~~0~~ 0 ] \text{ and } [ 3~~ 4 ~~5 ]M = [ 0 ~~1 ~~0 ]$$ then what is the value of $[ 6 ~~7 ~~8 ]M$ ?

I guess some matrix property needs to be used.

Hint: Matrix multiplication is a linear operation. – MJD May 08 '13 at 02:13 — MJD, May 08 '13 at 02:13

score 10 · Accepted Answer · answered May 08 '13 at 02:12

10

Hint: $[6~ 7 ~8]=2[3~ 4~ 5]-[0~ 1 ~2]$.

answered May 08 '13 at 02:12

vadim123

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A problem on linear algebra

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