Mathematics · JEE

Hard Matrices, algebra of matrices, type of matrices MCQs for JEE

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Q1MathsUnit 3: Matrices and Determinants
[000]\left[\begin{array}{lll}0 & 0 & 0\end{array}\right] is an example of
Q2MathsUnit 3: Matrices and Determinants
For any square matrix A,A+AT\boldsymbol{A}, \boldsymbol{A}+\boldsymbol{A}^{T} is
Q3MathsUnit 3: Matrices and Determinants
Assertion f[x1][1023][x5]=0,\mathbf{f}[\boldsymbol{x} \mathbf{1}]\left[\begin{array}{cc}\mathbf{1} & \mathbf{0} \\ -\mathbf{2} & \mathbf{3}\end{array}\right]\left[\begin{array}{c}\boldsymbol{x} \\ -\mathbf{5}\end{array}\right]=\mathbf{0}, then value of xx is either- 3 or 5 Reason Two matrices [xyuv]\left[\begin{array}{ll}\boldsymbol{x} & \boldsymbol{y} \\ \boldsymbol{u} & \boldsymbol{v}\end{array}\right] \& [abcd]\left[\begin{array}{ll}\boldsymbol{a} & \boldsymbol{b} \\ \boldsymbol{c} & \boldsymbol{d}\end{array}\right] are equal if &\& only if their corresponding entries are equal \& only if their corresponding entries are equal
Q4MathsUnit 3: Matrices and Determinants
The matrix B\boldsymbol{B} is
Q5MathsUnit 3: Matrices and Determinants
A matrix consisting of a single column of m elements is know as
Q6MathsUnit 3: Matrices and Determinants
Choose the correct answer
Q7MathsUnit 3: Matrices and Determinants
matrix is a square matrix in which all the elements other than the principal diagonal elements are zero.
Q8MathsUnit 3: Matrices and Determinants
If AA is a skew symmetric matrix of order 3, then the value of A|\boldsymbol{A}| is

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