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Questions › UoH › UoH 2019 › Q74
1 mark, −0.33Mathematics › Matrices, determinants and linear systems › Definiteness and quadratic formsHardabout 3 min

UoH 2019 Question 74: Matrices, determinants and linear systems

Consider the following matrix:

H=(−34−14−62−12−10)H = \begin{pmatrix} -3 & 4 & -1 \\ 4 & -6 & 2 \\ -1 & 2 & -10 \end{pmatrix}H=​−34−1​4−62​−12−10​​

Then,

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Plain-text version

Consider the following matrix: H = [-3 4 -1; 4 -6 2; -1 2 -10] Then, (A) Matrix H is positive semi-definite (B) Matrix H is positive definite (C) Matrix H is negative definite (D) Matrix H is indefinite

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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