Home
Class 12
MATHS
The inverse of the matrix [(1,0,0),(a,1,...

The inverse of the matrix `[(1,0,0),(a,1,0),(b,c,1)]` is (A) `[(1,0,0),(-a,1,0),(b,c,1)]` (B) `[(1,0,0),(-a,1,0),(ac,b,1)]` (C) `[(1,-a,ac-b),(-0,1,-c),(0,0,1)]` (D) `[(1,0,0),(-a,1,0),(ac-b,-c,1)]`

Promotional Banner

Similar Questions

Explore conceptually related problems

If A=[(alpha, 0,0),(0,b,0),(0,0,c)] and a,b,c are non zero real numbers, then A^-1 is (A) 1/(abc) [(1,0,0),(0,1,0),(0,0,1)] (B) 1/(abc) [(a,0,0),(0,b,0),(0,c,0)] (C) 1/(abc) [(a^-1,0,0),(0,b^-1,0),(0,c^-1,1)] (D) [(a^-1,0,0),(0,b^-1,0),(0,c^-1,1)]

If A=[(a, 0,0),(0,b,0),(0,0,c)] and a,b,c are non zero real numbers, then A^-1 is (A) 1/(abc) [(1,0,0),(0,1,0),(0,0,1)] (B) 1/(abc) [(a,0,0),(0,b,0),(0,c,0)] (C) 1/(abc) [(a^-1,0,0),(0,b^-1,0),(0,c^-1,1)] (D) [(a^-1,0,0),(0,b^-1,0),(0,0,c^-1)]

If A=[(1,0),(0,1)] then A^4= (A) [(1,0),(0,1)] (B) [(1,1),(0,10)] (C) [(0,0),(1,1)] (D) [(0,1),(1,0)]

If A=[(1,0),(0,1)] then A^4= (A) [(1,0),(0,1)] (B) [(1,1),(0,10)] (C) [(0,0),(1,1)] (D) [(0,1),(1,0)]

If A=[(0,1),(1,0)] then A^4 is (A) [(0,0),(1,1)] (B) [(1,1),(0,0)] (C) [(0,1),(1,0)] (D) [(1,0),(0,1)]

If {:A=[(a,0,0),(0,b,0),(0,0,c)]:}," then "A^(-1) , is..... a) [(a,0,0),(0,(1)/(b),0),(0,0,c)] b) [((1)/(0),0,0),(0,(1)/(b),0),(0,0,c)] c) [(a,0,0),(0,(1)/(b),0),(0,0,(1)/(c))] d) [((1)/(a),0,0),(0,(1)/(b),0),(0,0,(1)/(c))]

The matrix of the transformation reflection in the line x+y=0 is (A) [(-1,0),(0,-1)] (B) [(1,0),(0,-1)] (C) [(0,1),(1,0)] (D) [(0,-1),(-1,0)]

The matrix of the transformation reflection in the line x+y=0 is (A) [(-1,0),(0,-1)] (B) [(1,0),(0,-1)] (C) [(0,1),(1,0)] (D) [(0,-1),(-1,0)]

The truth table for the following combination of gates is (a) {:(A,B,Y),(0,0,0),(0,1,0),(1,0,1),(1,1,1):} (b) {:(A,B,Y),(0,0,0),(0,1,0),(1,0,0),(1,1,1):} (c) {:(A,B,Y),(0,0,1),(0,1,1),(1,0,1),(1,1,0):} (d) {:(A,B,Y),(0,0,0),(0,1,1),(1,0,1),(1,1,10):}

The trnsformation orthogonal projection on X-axis is given by the matrix (A) [(0,1),(0,0)] (B) [(0,0),(0,1)] (C) [(0,0),(1,0)] (D) [(1,0),(0,0)]