Simplify cosθ[[cosθ,sinθ],[-sinθ,cosθ]] + sinθ[[sinθ,-cosθ],[cosθ,sinθ]]

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Multiplication of a Matrix by a Scalar | PadhAiPro

Question

TextMultiplication of a Matrix by a Scalar

If x[1 2] + y[2 5] = [4 9], then :

if A = [1, 2, 3; 2, 3, 1] and B = [3, -1, 3; -1, 0, 2] then find 2A-B.

Multiplication of a Matrix by a Scalar

If A = [[3, 2, 0], [1, 4, 0], [0, 0, 5]], then compute A² − 7A + 10 I.

If A = [[1,2],[3,4]], B = [[2,1],[4,2]] and C = [[-5,1],[7,-4]]. Find: (a) A + C (b) B(A+C) (c) 5B (d) B(A+C) – 5B

If A=[[2/3,1,5/3],[1/3,2/3,4/3],[7/3,2,2/3]] and B=[[2/5,3/5,1],[1/5,2/5,4/5],[7/5,6/5,2/5]], then compute 3A - 5B.

If A=[[8,0],[4,-2],[3,6]] and B=[[2,-2],[4,2],[-5,1]], then find the matrix X, such that 2A + 3X = 5B.