Find the matrix A such that `A.[{:(2,3),(4,5):}]=[{:(0,-4),(10," "3):}].`

Find the matrix A such that [{:(2,-1), (1,0),(-3,4):}]A=[{:(-1,-8,-10),(1,-2,-5),(9,22,15):}]

Find the matrix A such that : [(1 ,0 ),(0 ,1)]A=[(3 ,3 ,5 ),(1, 0 ,1)] (ii) A[(1, 2, 3 ),(4, 5 ,6)]=[(-7,-8,-9 ),(2, 4 ,6)]

If I is the unit matrix of order 2 xx 2 find the matrix M, such that (i) M-2I=3 [{:(,-1,0),(,4,1):}] (ii) 5M+3I=4[{:(,2,-5),(,0,-3):}]

find the adjoint of the matrix A=[(1,2,3),(0,5,0),(2,4,3)]

Given A=[{:(,1,4),(,2,3):}] and B=[{:(,-4,-1),(,-3,-2):}] (i) find the matrix 2A+B. (ii) find a matrix C such that : C+B=[{:(,0,0),(,0,0):}]

Find the inverse of the matrix A= [(3,1),(4,2)]

find the transpose of the matrix A=[{:(1,3,-4),(0,2,1):}].

Find the matrix A satisfying the matrix equation [(2, 1),( 3, 2)]A[(-3, 2),( 5,-3)]=[(1, 0 ),(0, 1)] .

Wherever possible write each of the following as a single matrix. (i) [{:(,1,2),(,3,4):}]+[{:(,-1,-2),(,1,-7):}] (ii) [{:(,2,3,4),(,5,6,7):}]-[{:(,0,2,3),(,6,-1,0):}] (iii) [{:(,0,1,2),(,4,6,7):}]+[{:(,3,4),(,6,8):}]

Find the rank of the matrix A=[(1,2,3),(2,3,4),(3,4,5)] .