Find the product `[[2],[ -1],[ 3]][[1 , 3 ,6]]`

Compute the indicated products. i) [[a , b],[ -b , a]] [[a, -b],[ b, a]] ii) [[1], [ 2], [3]][[2, 3 ,4]] iii) [[1, (-2)],[ 2 ,3]] [[1 , 2 ,3],[ 2, 3 , 1]] iv) [[2 , 3 , 4 ],[ 3 , 4 , 5 ],[ 4, 5 ,6]] [[1 , -3, 5],[ 0, 2, 4],[ 3, 0, 5]] v) [[2 , 1],[ 3 , 2],[ (-1), 1]] [[1, 0 , 1],[ (-1), 2, 1]] vi) [[3, (-1), 3],[ (-1), 0, 2]][[2, -3],[ 1 , 0],[ 3, 1]]

Use product [[1,-1,2],[0,2,-3],[3,-2,4]][[-2,0,1],[9,2,-3],[6,1,-2]] to solve the system of equations x-y+2z=1 2y-3z=1 3x-2y+4z=2

Find A^2-5 A+6 I , if A=[[2, 0, 1],[ 2 ,1 , 3],[ 1, -1, 0]]

Find the transpose of each of the following matrices: (i) [[5], [1/2], [-1]] ii) [[1, -1],[ 2, 3]] (iii) [[-1, 5, 6],[ sqrt3, -5, 6],[ 2, 3, -1]]

Consider the matrices A=[[2,-6],[1,2]] and A+3B=[[5,-3],[-2,-1]] Find matrix AB.

Consider the matrices A=[[2,-6],[1,2]] and A+3B=[[5,-3],[-2,-1]] Find matrix B

Consider the matrices A=[[2,-6],[1,2]] and A+3B=[[5,-3],[-2,-1]] Find the transpose of B.

Without expanding, evaluate |[2, 1, 5],[ -3, -1, 4],[ 6, 2, -8]|

Consider the matrix A=[[2,1,3],[2,3,1],[1,1,1]] B=[[-1,2,3],[-2,3,1],[-1,1,1]] Find (A+B)(A-B)

Consider the matrix A=[[2,1,3],[2,3,1],[1,1,1]] B=[[-1,2,3],[-2,3,1],[-1,1,1]] Find A+B