RankLab
Back to Questions
MathsMediumMCQ2021 · 27 Aug Shift 1

Q71.If the matrix A = [K0 −12 ] (1) 21 (2) 1 (3) −1 (4) −12

What This Question Tests

This question tests the ability to perform matrix multiplication and solve a matrix equation involving powers of a matrix to find an unknown constant.

Concepts Tested

Matrix multiplicationIdentity matrixPolynomial equation for a matrix

Formulas Used

Matrix multiplication rules

Identity matrix I = [[1,0],[0,1]]

📚 NCERT Sections This Tests

12.5A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,

Physics Class 12 · Chapter 12

70% match

12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.

8.17Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products

Chemistry Class 12 · Chapter 8

70% match

8.17 Complete each synthesis by giving missing starting material, reagent or products

12.4The Ground State Energy Of Hydrogen Atom Is –13.6 Ev. What Are The

Physics Class 12 · Chapter 12

69% match

12.4 The ground state energy of hydrogen atom is –13.6 eV. What are the kinetic and potential energies of the electron in this state?

📋 Question Details

Chapter
Matrices
Topic
Matrix Algebra
Year
2021
Shift
27 Aug Shift 1
Q Number
Q71
Type
MCQ
NCERT Ref
Class 12 Mathematics Ch 3: Matrices

More from this Chapter

Q87.Let A be a 2 × 2 matrix with real entries. Let I be the 2 × 2 identity matrix. Denote by tr(A), the sum of diagonal entries of A . Assume that A2 = 1. Statement -1: If A ≠1 and A ≠−1, then det A = −1. Statement −2 : If A ≠1 and A ≠−1, then tr(A) ≠0. (1) Statement −1 is false, Statement −2 is true (2) Statement −1 is true, Statement −2 is true, Statement −2 is a correct explanation for Statement −1 (3) Statement −1 is true, Statement −2 is true; (4) Statement −1 is true, Statement −2 is false. Statement −2 is not a correct explanation for Statement −1

2008
Hard

Q88.Let A be a square matrix all of whose entries are integers. Then which one of the following is true? (1) If det A = ±1, then A−1 exists but all its entries (2) If det A ≠±1, then A−1 exists and all its entries are not necessarily integers are non-integers (3) If det A = ±1, then A−1 exists and all its entries (4) If det A = ±1, then A−1 need not exist are integers

2008
Medium

Q74.Let A be a 2 × 2 matrix Statement-1 : adj(adj A) = A Statement-2 : |adj A| = |A| (1) Statement-1 is true, Statement-2 is true; (2) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-2 is not a correct explanation for Statement-1 Statement-1 (3) Statement-1 is true, Statement-2 is false (4) Statement-1 is false, Statement-2 is true

2009
Easy

Q75.The number of 3 × 3 non-singular matrices, with four entries as 1 and all other entries as 0 , is (1) 5 (2) 6 (3) at least 7 (4) less than 4

2010
Hard
More Mathematics questions