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jee_main_2024_27_jan_morning - Matrices Topics

Master these core formulas and structures to solve almost any past paper question.

Sample Questions in this Chapter

QUESTION #19 Matrix Multiplication
Consider the matrix f(x) = beginbmatrix cos x & -sin x & 0 \\ sin x & cos x & 0 \\ 0 & 0 & 1 endbmatrix Given below are two statements: Statement I: f(-x) is the inverse of the matrix f(x) Statement II: f(x)f(y) = f(x+y). In the light of the above statements, choose the correct answer from the options given below
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QUESTION #29 Matrix Inverse and Determinant
Let A=beginbmatrix 2 & 0 & 1 \\ 1 & 1 & 0 \\ 1 & 0 & 1 endbmatrix, B=[B_1, B_2, B_3], where B_1, B_2, B_3 are column matrices, and AB_1=beginbmatrix 1 \\ 0 \\ 0 endbmatrix, AB_2=beginbmatrix 2 \\ 3 \\ 0 endbmatrix, AB_3=beginbmatrix 3 \\ 2 \\ 1 endbmatrix. If alpha=|B| and beta is the sum of all the diagonal elements of B, then alpha^3+beta^3 is equal to:
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