Consider an matrix with real entries. is non-singular if and only if
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DSE 2006 Question 14: Matrices, determinants and linear systems
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Plain-text version
Consider an n× n matrix A with real entries. A is non-singular if and only if (A) the determinant of A is not equal to 0 (B) the columns vectors of A are linearly independent (C) the row vectors of A are linearly independent (D) any of the above three conditions is satisfied
Also written as: Consider an n* n matrix A with real entries. A is non-singular if and only if
Matrices, determinants and linear systems has come up 102 times in 7 exams since 2006.
What this question tests
This question is on Singular matrices and invertibility, part of Matrices, determinants and linear systems in Mathematics.
When a matrix has an inverse and what singularity means.
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