Given a matrix , its inverse
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1 mark, −0.33MathematicsMatrices, determinants and linear systemsSingular matrices and invertibilityModerateabout 2 min
UoH 2015 Question 43: Matrices, determinants and linear systems
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Given a 3 × 3 matrix A = [1 0 1; 2 -1 3; 1 1 0], its inverse (A) is [1 0 1;.5 -1.33; 1 1 0]. (B) does not exist. (C) can not be determined, since A does not have a unique inverse. (D) is [1 0 0; -1 0 1; 0 1 -1].
Also written as: Given a 3 * 3 matrix A = [1 0 1; 2 -1 3; 1 1 0], its inverse
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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