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Important Questions: Matrices, algebra of matrices, type of matrices for JEE

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The most important Matrices, algebra of matrices, type of matrices questions for JEE cover conceptual traps, standard results, and numerical patterns from Matrices, algebra of matrices, type of matrices. Goodmarks provides 15+ high-yield MCQs with full solutions.

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Part of Matrices and Determinants in JEE Main Mathematics.

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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][10−23][x−5]=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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