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A square matrix A is invertible if and o...

A square matrix `A` is invertible if and only if `A` is non-singular matrix.

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Knowledge Check

  • If A is a non-singular matrix, then

    A
    `A^(-1)` is a non-singular matrix, then
    B
    `A^(-1)`is skew-symmetric if A is symmetric
    C
    `abs(A^-1) = abs(A)`
    D
    `abs(A^-1) = abs(A)^(-1)`

  • If A is a non-singular matrix, then A (adj.A)=

    A
    identity matrix
    B
    null matrix
    C
    scalar matrix
    D
    diagonal matrix

  • If A is a singular matrix then Adj is

    A
    non singular
    B
    singular
    C
    symmetric
    D
    skew symmetric

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    If A is an invertible matrix and B is a matrix, then

    Consider the following statements 1. If A' = A, then A is a singular matrix, where A' is the transpose of A. 2. If A is a square matrix such that A^(3) = I , then A is non-singular. Which of the statements guven above is/are correct ?

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