jee_main_2024_27_jan_morning - Matrices Topics

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QUESTION #19 Matrix Multiplication
Consider the matrix f(x) = bmatrix x & - x & 0 x & x & 0 0 & 0 & 1 bmatrix 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= bmatrix 2 & 0 & 1 1 & 1 & 0 1 & 0 & 1 bmatrix, B=[B₁, B₂, B₃], where B₁, B₂, B₃ are column matrices, and AB₁= bmatrix 1 0 0 bmatrix, AB₂= bmatrix 2 3 0 bmatrix, AB₃= bmatrix 3 2 1 bmatrix. If α=|B| and β is the sum of all the diagonal elements of B, then α³+β³ is equal to:
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Rankbit System
JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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