If a = 4 7 and B = 3 L, Find: A+2b - Mathematics

If A = [4 7] and B = [3 1] , find: A+2B

Sum

A = `[(4 , 7)]_(1 xx 2)` B = `[(3 , 1)]_(1 xx 2)`

A + 2B = `[4 , 7] + [6 , 2]`

= `[4 + 6 7 + 2]`

= `[(10 , 9)]_(1 xx 2)`

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Chapter 11: Matrices - Exercise 11.1

Chapter 11 Matrices
Exercise 11.1 | Q 6.1

If A = `[(0, -1),(4, -3)]`, B = `[(-5),(6)]` and 3A × M = 2B; find matrix M.

If A = `[(1, 2),(2, 1)]` and B = `[(2, 1),(1, 2)]`; find (AB)B

Let `A = [(1, 0),(2, 1)], B = [(2, 3),(-1, 0)]`. Find `A^2 + AB + B^2`

Given A = `[(p, 0),(0, 2)]`, B = `[(0, -q),(1, 0)]`, C = `[(2, -2),(2, 2)]` and BA = C². Find the values of p and q.

If A = [4 7] and B = [3 l], find: A - B

Solve for x and y `[(-2,0), (3,1)][(-1), (2x)] +3[(-2), (1)] =2[(y), (3)]`

If A = `[(1 , 0),(-1 ,7)]` and I = `[(1 , 0),(0 ,1)]`, then find k so that A²= 8A + kI.

If `"A" = [(1 , 2),(-2 , 3)], "B" = [(2 , 1),(2 , 3)] "C" = [(-3 , 1),(2 , 0)]` verify that
(AB)C = A(BC),

If `"A" = [(1 , 2),(-2 , 3)], "B" = [(2 , 1),(2 , 3)] "C" = [(-3 , 1),(2 , 0)]` verify that
A(B + C) = AB + AC.

Find the values of x, y, a and b, if `[(3x + 4y, 2, x - 2y),(a + b, 2a - b, -1)] = [(2, 2, 4),(5, 5, 1)]`