For the matrix A=11112-32-13 show that A3-6A2+5A+11I3=0. Hence find A-1.

For the matrix $A = [\begin{matrix} 1 & 1 & 1 \\ 1 & 2 & - 3 \\ 2 & - 1 & 3 \end{matrix}]$ show that $A^{3} - 6 A^{2} + 5 A + 11 I_{3} = 0$ . Hence find $A^{- 1}$ .

Matching exercise

Match the items on the right to the items on the left.

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