Related InterviewSolutions

• For a matrix `M=[(3/5, 4/5),(x,3/5)]`, If `M^-1=M^T` then `x=`A. `-3/5`B. `-4/5`C. `4/5`D. `3/5`
• A square matrix A is used to be an idempotent matrix if `A^(2) = A`. If A is an idempotent matrix and B = I -A, then-A. AB = 0B. BA`ne`0C. `B^(2)` = ID. `AB = I_(n)`
• If `A` and `B` are two matrices such that `AB=B` and `BA=A`, then `A^2+B^2=`A. |A| = |B|B. |A| = -|B|C. |A| = 2|B|D. A is invertible if and only if B is invertible
• If A is a matrix of size `nxxn` such that `A^(2) + A + 2I` = O thenA. A is non-singularB. `A ne O`C. |A| = OD. `A^(-1) = (-1)/(2)(A + I)`
• If A be a proper orthogonal matrix, then-A. |A| = 0B. |A|=1C. |A|=2D. |A|=3
• If A be an orthogonal matrix, then the value of `A^(-1)` will be -A. AB. `A^(T)`C. `A^(2)`D. `A^(3)`
• If a,b,c, are non-zero real numbers, then the inverse of matrix A = `[(a,0,0),(0,b,0),(0,0,c)]` is -A. `[(a^(-1),0,0),(0,b^(-1),0),(0,0,c^(-1))]`B. abc`[(a^(-1),0,0),(0,b^(-1),0),(0,0,c^(-1))]`C. `[(a,0,0),(0,b,0),(0,0,c)]`D. `(1)/(abc)[(1,0,0),(0,1,0),(0,0,1)]`
• If `A` is a `2×2` square matrix with `|A|=3` then find `|3A|`A. a = -2B. a = 2, b = 1C. b = -1D. b = 1
• If `[(x+y,2x+z),(x-y,2z+w)]=[(4,7),(0,10)]` then the values of x, y, z and w are -A. singularB. non-singularC. skey-symmetricD. a square matrix
• If A and B are two invertible matrices of the same order, then adj (AB) is equal to -A. adj (A) adj (B)B. |B||A|`B^(-1)A^(-1)`C. |B||A|`A^(-1)B^(-1)`D. |A||B|`(AB)^(-1)`