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If A =, write A^2 in the form pA+qI where p and q are scalars?
How do I convert a square matrix to _A+_I?
Really need help, thank you so so much!
I see no reason not to just do this by straightforward calculation.
Since the problem asks about, the obvious first thing to do is to square A!
I presume you know that I is the identity matrix:so that, for any q,
and then
and that must be equal to
.
That is, we have the four equations, 5- q= 3p, 4= 2p, -4= -2p, and -3- q= -p. Solve those equations for p and q.
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