Show that the matrix A=10-1-2-12341 satisfies the equation, A3-A2-3A-I3=0. Hence find A-1.

Show that the matrix $A = [\begin{matrix} 1 & 0 & - 1 \\ - 2 & - 1 & 2 \\ 3 & 4 & 1 \end{matrix}]$ satisfies the equation, $A^{3} - A^{2} - 3 A - I_{3} = 0$ . Hence find $A^{- 1}$ .

Matching exercise

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

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Step 9

Step 10