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Let  $$a,b,c$$  be integers such that $$\mathbf{A} = \frac{1}{5} \begin{pmatrix} -3 & a \\ b & c \end{pmatrix}$$

and $$\mathbf{A}^2 = \mathbf{I}$$ Find the largest possible value of $$a+b+c$$

Sep 2, 2020

#1
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The largest possible value of a + b + c is 29.

Sep 2, 2020
#2
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Work?

I'm here to learn you know.

CapriSun  Sep 2, 2020