If is an real matrix and is its transpose, then
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2 marks, −0.666666666666667MathematicsMatrices, determinants and linear systemsDefiniteness and quadratic formsEasyabout 2 min
DSE 2017 Question 25: Matrices, determinants and linear systems
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If B is an n× n real matrix and Bᵀ is its transpose, then (A) BᵀB is negative definite (B) BᵀB is positive definite (C) BᵀB is negative semidefinite (D) BᵀB is positive semidefinite
Also written as: If B is an n* n real matrix and B^T is its transpose, then
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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