Home
Class 12
MATHS
If [[2, 1],[ 3, 2]]A[[-3 ,2],[ 5,-3]]=[[...

If `[[2, 1],[ 3, 2]]A[[-3 ,2],[ 5,-3]]=[[1 ,0],[ 0, 1]]`, then `"A=` (A) `[[1, 1],[ 1 ,0]]` (B) `[[1, 1],[ 0, 1]]` (C) `[[1 ,0],[ 1 ,1]]` (D) `-[[1, 1],[ 1, 0]]`

Promotional Banner

Similar Questions

Explore conceptually related problems

If A=[[0,1],[1,0]] , then A^2 is equal to: (a) [[0,1],[1,0]] (b) [[1,0],[0,1]] (c) [[1,0],[1,0]] (d) [[0,0],[1,1]]

Show that(i) [[5,-1],[ 6 ,7]][[2, 1],[ 3 ,4]]!=[[2, 1],[ 3, 4]][[5,-1],[ 6, 7]] (ii) [[1, 2, 3],[ 0, 1, 0],[ 1, 1, 0]][[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]]!=[[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]][[1 ,2 ,3],[ 0, 1, 0],[ 1, 1, 0]]

Show that(i) [[5,-1],[ 6 ,7]][[2, 1],[ 3 ,4]]!=[[2, 1],[ 3, 4]][[5,-1],[ 6, 7]] (ii) [[1, 2, 3],[ 0, 1, 0],[ 1, 1, 0]][[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]]!=[[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]][[1 ,2 ,3],[ 0, 1, 0],[ 1, 1, 0]]

If A=[[x,1],[1,0]] and A^2=I , then A^(-1) is equal to: a) [[0,1],[1,0]] b) [[1,0],[0,1]] c) [[1,1],[1,1]] d) [[0,0],[0,0]]

Show that i) [[5 , (-1)],[ 6, 7]][[2, 1],[ 3 ,4]] ne[[2 , 1 ],[3 , 4]][[5, (-1)],[ 6 ,7]] ii) [[1, 2 , 3],[ 0 , 1, 0],[ 1 , 1, 0]][[(-1), 1, 0],[ 0, (-1), 1],[ 2, 3, 4]] ne[[(-1), 1, 0],[ 0, (-1), 1],[ 2, 3, 4]] [[1 , 2, 3],[ 0, 1, 0],[ 1, 1, 0]] .

If [(2,1),(3,2)] A[(-3,2),(5,-3)]=[(1,0),(0,1)] then a is equal to (A) [(0,1),(1,1)] (B) [(1,0),(1,1)] (C) [(1,1),(1,0)] (D) [(1,1),(0,1)]

If A = [ [ 0 , 1 ] , [ 0 , 1 ] ] ,then A^2 is equal to ( a ) [ [ 0 , 1 ] , [ 1 , 0 ] ] ( b ) [ [ 1 , 0 ] , [ 1 , 0 ] ] ( c ) [ [ 0 , 1 ] , [ 0 , 1 ] ] ( d ) [ [ 1 , 0 ] , [ 0 , 1 ] ]

If A^(-1)=[[1,-1, 2],[0, 3,1],[ 0 ,0,-1/3]] , then |A|=-1 b. adj A=[[-1, 1 ,-2],[ 0,-3,-1],[ 0, 0, 1/3]] c. A=[[1, 1/3, 7 ],[0, 1/3, 1],[0 ,0,-3]] d. A =[[1,-1/3,-7],[ 0,-3, 0],[ 0, 0, 1]]

If A^(-1)=[[1,-1, 2],[0, 3,1],[ 0 ,0,-1/3]] , then |A|=-1 b. adj A=[[-1, 1 ,2],[ 0,-3,-1],[ 0, 0, 1/3]] c. A=[[1, 1/3, 7 ],[0, 1/3, 1],[0 ,0,-3]] d. A =[[1,-1/3,-7],[ 0,-3, 0],[ 0, 0, 1]]

If A^(-1)=[[1,-1, 2],[0, 3,1],[ 0 ,0,-1/3]] , then |A|=-1 b. adj A=[[-1, 1 ,2],[ 0,-3,-1],[ 0, 0, 1/3]] c. A=[[1, 1/3, 7 ],[0, 1/3, 1],[0 ,0,-3]] d. A =[[1,-1/3,-7],[ 0,-3, 0],[ 0, 0, 1]]