Matrices

JEE Main 2025 (Online) 24th January Evening ShiftMCQEasy📈 Topic in 8% papers+4−1

Ques. 1JEE Main 2025, 24 January (Evening Shift)

Let A=[aij] be a square matrix of order 2 with entries either 0 or 1. Let E be the event that A is an invertible matrix. Then the probability P(E) is :

Answer

(1) 38

Solution

Concept: A is invertible its two rows are non-zero and different.

Total matrices =24=16

Non-zero rows: (1,0),(0,1),(1,1) 3 2=6 invertible matrices

P(E)= 616= 38

Answer: (1)

Keep practising — Matrices

Ques. 2JEE Main 2025, 23 January (Evening Shift)

Let A=[aij] be a 3 3 matrix such that A bmatrix0\\1\\0 bmatrix= bmatrix0\\0\\1 bmatrix, A bmatrix4\\1\\3 bmatrix= bmatrix0\\1\\0 bmatrix and A bmatrix2\\1\\2 bmatrix= bmatrix1\\0\\0 bmatrix, then a23 equals :

2
-1
1
0

All Matrices PYQs →

PDFDownload Matrices PYQs as PDF Free, with answer key and a QR code to every solution — print it or study offline⬇

All JEE Main Mathematics chapters

Class 11Sets Relations and Functions Trigonometric Functions Complex Numbers and Quadratic Equations Permutations and Combinations Binomial Theorem Sequences and Series Straight Lines Conic Sections Introduction to Three Dimensional Geometry Limits and Derivatives Statistics Probability

Class 12Relations and Functions (Class 12)Inverse Trigonometric Functions Matrices Determinants Continuity and Differentiability Application of Derivatives Integrals Application of Integrals Differential Equations Vector Algebra Three Dimensional Geometry Probability (Class 12)