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

If A = [4 7] and B = [3 l], find : 2A - 3B

Sum

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

2A - 3B = `[(8 , 14)] - [(9 , 3)]`

= `|(-1 , 11)|_(1 xx 2)`

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Chapter 11: Matrices - Exercise 11.1

Chapter 11 Matrices
Exercise 11.1 | Q 6.3

If A = `[(2, 1, -1),(0, 1, -2)]`, Find A^t . A where A^t is the transpose of matrix A.

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

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

Find X and Y , if `|(1,2),(2 , -3)| |(x),(y)| = |(-1) , (12)|`

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

If A = `[(3, 7),(2, 4)]`, B = `[(0, 2),(5, 3)]` and C = `[(1, -5),(-4, 6)]`. Find AB – 5C.

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))((2),(1)) = ((5),(12))`.

If A = `[(9 , 1),(5 , 3)]` and B = `[(1 , 5),(7 , -11)]`, find matrix X such that 3A + 5B - 2X = 0.

If A = `[(sec60°, cos90°),(-3tan45°, sin90°)] and "B" = [(0, cos45°),(-2, 3sin90°)]` Find : BA