Subtraction of Matrices

Given the matrices 

`A=[[2,1,1],[3,-1,0],[0,2,4]]` , `B=[[9,7,-1],[3,5,4],[2,1,6]]`  `and  C=[[2,-4,3],[1,-1,0],[9,4,5]]`

Let A = `[(1, 2),(-1, 3)]`, B = `[(4, 0),(1, 5)]`, C = `[(2, 0),(1, -2)]` and a = 4, b = –2. Show that: a(C – A) = aC – aA

If A = `[(1, 2),(4, 1),(5, 6)]` B = `[(1, 2),(6, 4),(7, 3)]`, then verify that: (A – B)′ = A′ – B′

If matrix  \[A = \begin{bmatrix}2 & - 2 \\ - 2 & 2\end{bmatrix}\]  and A² = pA, then write the value of p.

If A `= [(2,2,1),(1,3,1),(1,2,2)], "then"  "A"^4 - 2 ^4` (A - I) = ____________.

If  \[\begin{bmatrix}a - b & 2a + c \\ 2a - b & 3c + d\end{bmatrix} = \begin{bmatrix}- 1 & 5 \\ 0 & 13\end{bmatrix}\] , find the value of b.