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Questions › JNU › JNU SIS 2015 › Q19
2 marks, −1Mathematics › Matrices, determinants and linear systems › Singular matrices and invertibilityEasyabout 2 min

JNU SIS 2015 Question 19: Matrices, determinants and linear systems

If the matrix A=(235α0α71α)A = \begin{pmatrix} 2 & 3 & 5 \\ \alpha & 0 & \alpha \\ 7 & 1 & \alpha \end{pmatrix}A=​2α7​301​5αα​​ is singular, then

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If the matrix A = [2 3 5; α 0 α; 7 1 α] is singular, then (A) α = 1 (B) α = 7 or α = 0 (C) α = 8 (D) α = 0 or α = 8

Also written as: If the matrix A = [2 3 5; alpha 0 alpha; 7 1 alpha] is singular, then

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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