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Matrices, algebra of matrices, type of matrices Short Tricks for JEE

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Short tricks for Matrices, algebra of matrices, type of matrices work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

Use these Matrices, algebra of matrices, type of matrices shortcuts to save time in JEE Mathematics papers — then validate speed with 13+ MCQs on Goodmarks.

Short tricks for speed

  • Matrices, algebra of matrices, type of matrices focus drill

    Solve 15 mixed MCQs for Matrices, algebra of matrices, type of matrices, review every explanation, and note formulas you hesitated on.

  • Calculus substitution scan

    Spot standard forms (sin²x, 1/(a²+x²), e^ax) before integrating — JEE rewards pattern recognition.

  • Graph sketch shortcut

    For coordinate geometry, mark intercepts and asymptotes first; many MCQs need only qualitative graph features.

Syllabus context

Part of Matrices and Determinants in JEE Main Mathematics.

Free sample questions

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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
matrix is a square matrix in which all the elements other than the principal diagonal elements are zero.
Q7MathsUnit 3: Matrices and Determinants
If AA is a skew symmetric matrix of order 3, then the value of ∣A∣|\boldsymbol{A}| is
Q8MathsUnit 3: Matrices and Determinants
Suppose AA is any 3×33 \times 3 non-singular matrix and (A−3I)(A−5I)=O(\boldsymbol{A}-\mathbf{3} \boldsymbol{I})(\boldsymbol{A}-\mathbf{5} \boldsymbol{I})=\boldsymbol{O} where I=I3\boldsymbol{I}=\boldsymbol{I}_{3} and O=O3,\boldsymbol{O}=\boldsymbol{O}_{3}, If αA+\boldsymbol{\alpha} \boldsymbol{A}+ βA−1=4I,\beta A^{-1}=4 I, then α+β\alpha+\beta is equal to

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No — tricks complement concepts. Master the theory first, then use shortcuts in timed MCQ practice.

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