If a = 4 7 and B = 3 L, Find: a - B - Mathematics

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

Sum

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

A - B = `[(4-3 , 7-1)]`

= `|(1 , 6)|_(1 xx 2)`

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Chapter 11: Matrices - Exercise 11.1

Chapter 11 Matrices
Exercise 11.1 | Q 6.2

Given matrix B = `[(1, 1),(8, 3)]`. Find the matrix X if, X = B² – 4B. Hence, solve for a and b given `X[(a),(b)] = [(5),(50)]`.

Find x and y if `[(x,3x),(y, 4y)] = [(5),(12)]`

If A = `[(3, 1),(-1, 2)]` and I = `[(1, 0),(0, 1)]`, find A² – 5A + 7I.

Evaluate the following :

`|(2 , -5),(0 , -3)| |(1 , -1),(3 , 2)|`

Given matrix A = `[(4sin30^@,cos0^@), (cos0^@,4sin30^@)] and B = [(4), (5)]` If AX = B.
Find the matrix 'X'

Find x and y if
`[( x , 3x),(y , 4y)][(2),(1)] = [(5),(12)]`.

A = `[(3 , 1),(-1 , 2)]`, show that A² - 5A + 7 I₂ = 0.

If B = `[(-4, 2),(5, -1)] and "C" = [(17, -1),(47, -13)]` find the matrix A such that AB = C

If `[(-1, 0),(0, 1)] [(a, b),(c, d)] = [(1, 0),(0, -1)]` find a,b,c and d

Find a and b if `[(a - b, b - 4),(b + 4, a - 2)] [(2, 0),(0, 2)] = [(2, -2),(14, 0)]`