Mathematics · JEE

Determinants and matrices of order two and three Mock Test for JEE

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Q1MathsUnit 3: Matrices and Determinants

\boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{1} & \mathbf{1} \\ \mathbf{1} & \mathbf{1}+\boldsymbol{x} & \mathbf{1} \\ \mathbf{1} & \mathbf{1} & \mathbf{1}+\boldsymbol{y}\end{array}\right]

for

\boldsymbol{x} \neq

\mathbf{0}, \boldsymbol{y} \neq \mathbf{0},

then

\boldsymbol{D}

is:

Q2MathsUnit 3: Matrices and Determinants

Consider the following statements: 1. Determinant is a square matrix. 2. Determinant is a number associated with a square matrix. Which of the above statements is/are correct?

Q3MathsUnit 3: Matrices and Determinants

Assertion

\begin{array}{ccc}\mathbf{\Delta}= & & \\ & \sin \pi & \cos (\boldsymbol{x}+\boldsymbol{\pi} / \mathbf{4}) & \tan (\boldsymbol{x}- \\ \sin (\boldsymbol{x}-\boldsymbol{\pi} / \mathbf{4}) & -\cos (\boldsymbol{\pi} / \mathbf{2}) & \log (\boldsymbol{x} \\ \cot (\boldsymbol{\pi} / \mathbf{4}+\boldsymbol{x}) & \log (\boldsymbol{y} / \boldsymbol{x}) & \tan \end{array}

0 Reason A skew symmetric determinant of odd order equals 0

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