If `A|(1, 4, 7),( 2, 6, 5),( 3,-1, 2)|a n dB=d i ag(1,2,5)` , then trace of a matrix `A B^2` is

If A=[[1 ,-3, 4], [7, 2 ,5],[ -2,6, 3]] a n d B=d i ag(2,3,5) , then trace of matrix A B^2 is (a)74 (b)75 (c)97 (d)23

Find a matrix X such that 2A+B+X=0 , where A= [(-1, 2) ,(3, 4)],B=[(3,-2) ,(1, 5)] If A=[(8, 0),(4,-2),( 3, 6)]a n dB=[(2,-2),( 4, 2),(-5, 1)], then find the matrix X of order 3x2 such that 2A+3X=5Bdot

If A=[[1,2,-3] , [5,0,2] , [1,-1,1]] and B=[[3,-1,2] , [4,2,5] , [2,0,3]] then find matrix C such that A+2C=B

if A=[{:(1,-4,5),(2,1,-3):}]and B=[{:(2,3,-1),(1,2,3):}] then find a matrix C if 2A+3B -4C is a zero matrix.

If A=d i ag(1-1 2) and B=d i ag(2 , 3 -1), find A+B ,3A+4Bdot

If A=[(2, 0,-3),( 4, 3, 1),(-5, 7, 2)] is expressed as the sum of a symmetric and skew-symmetric matrix, then the symmetric matrix is (a) [(2, 2,-4 ),(2, 3, 4),(-4, 4, 2)] (b) [(2, 4,-5),( 0, 3, 7),(-3, 1, 2)] (c) [(4, 4,-8),( 4, 6, 8),(-8, 8, 4)] (d) [(1, 0 ,0 ),(0 ,1 ,0),( 0, 0, 1)]

If A=[{:(1,5),(7,12):}] and B=[{:(9,1),( 7,8):}] then find a matrix C such that 3A+5B+2C is a null matrix.

If A=[{:(1,5),(7,12):}] and B=[{:(9,1),( 7,8):}] then find a matrix C such that 3A+5B+2C is a null matrix.

Let A+2B=[{:(2,4,0),(6,-3,3),(-5,3,5):}] and 2A-B=[{:(6,-2,4),(6,1,5),(6,3,4):}] , then tr (A) - tr (B) is equal to (where , tr (A) =n trace of matrix x A i.e. . Sum of the principle diagonal elements of matrix A)