For a matrix A having |A| = 0, which of the following are true? – McqOptions

MCQOPTIONS

1.	For a matrix A having \|A\| = 0, which of the following are true?
A.	A-1 exists
B.	A-1 does not exists
C.	A is non-singular
D.	A-1 exists with \|A-1\|= 0
Answer» C. A is non-singular

Discussion

No Comment Found

Related MCQs

For a matrix A having |A| = 0, which of the following are true?
If A and B are two square matrices, then |A.B| is same as which of the following?
A matrix B and _____ will have the same determinant.
Consider the set P of all determinants of order 3 with entries 0 or 1 only. Let Q the subset of P consisting of all determinants with value 1.Let R be the subset of P consisting of all determinants with value – 1. Then, which of the following is true?
If each element of a line consists of m terms, the determinant can be expressed as the sum of ______ determinants.
What is the value of the determinant \(\begin{pmatrix}2&5&1\\7&4&5\\1&2&3\end{pmatrix}\)?
For a determinant \(\begin{vmatrix}a&b&c\\d&e&f\\g&h&i\end{vmatrix}\), the cofactor of h will be equal to which of the following?
For a determinant containing 4 elements a1 b1 a2 b2, what will the elements of the leading diagonal?