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Questions › UoH › UoH 2011 › Q65
1 mark, −0.33Mathematics › Matrices, determinants and linear systems › Definiteness and quadratic formsHardabout 2 min

UoH 2011 Question 65: Matrices, determinants and linear systems

Verify the property of the following matrix: [24/3−3/2−1]\begin{bmatrix}2 & 4/3\\ -3/2 & -1\end{bmatrix}[2−3/2​4/3−1​]

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Verify the property of the following matrix: [2 4/3; -3/2 -1] (A) Negative definite (B) Positive definite (C) Indefinite (D) Semi-definite

Matrices, determinants and linear systems has come up 102 times in 7 exams since 2006.

What this question tests

This question is on Definiteness and quadratic forms, part of Matrices, determinants and linear systems in Mathematics.

Classifying symmetric matrices and quadratic forms as positive or negative definite.

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