English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative:If a ≠ b, b, c satisfy abcbcab|a2b2c3bc4ab| = 0, then abc = - Mathematics

Advertisements
Advertisements

Question

Choose the correct alternative:
If a ≠ b, b, c satisfy `|("a", 2"b", 2"c"),(3, "b", "c"),(4, "a", "b")|` = 0, then abc =

Options

  • a + b + c

  • 0

  • b3

  • ab + bc

MCQ

Solution

b3

shaalaa.com
Matrices
  Is there an error in this question or solution?
Chapter 7: Matrices and Determinants - Exercise 7.5 [Page 42]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 7 Matrices and Determinants
Exercise 7.5 | Q 20 | Page 42

RELATED QUESTIONS

Construct a 3 × 3 matrix whose elements are given by aij = |i – 2j|


If A = `[(sqrt(7), - 3),(- sqrt(5), 2),(sqrt(3), -5)]` then find the transpose of – A


Find the values of x, y and z from the following equation

`[(12, 3),(x, 3/2)] = [(y, z),(3, 5)]`


If A = `[(costheta, sintheta),(-sintheta, costheta)]` prove that AAT = I


If A = `[("a", "b"),("c", "d")]` and I = `[(1, 0),(0, 1)]` show that A2 – (a + d)A = (bc – ad)I2


If `cos theta [(cos theta, sin theta),(-sin theta, cos theta)] + sin theta[(x, -cos theta),(cos theta, x)]` = I2, find x.


Determine the value of x + y if `[(2x + y, 4x),(5x - 7, 4x)] = [(7, 7y - 13),(y, x + 6)]`


If A is a square matrix such that A2 = A, find the value of 7A – (I + A)3


If AT = `[(4, 5),(-1, 0),(2, 3)]` and B = `[(2, -1, 1),(7, 5, -2)]`, veriy the following 

(A – B)T = AT – BT


If AT = `[(4, 5),(-1, 0),(2, 3)]` and B = `[(2, -1, 1),(7, 5, -2)]`, veriy the following 

(BT)T = B


Express the following matrices as the sum of a symmetric matrix and a skew-symmetric matrix:

`[(4, -2),(3, -5)]`


Construct the matrix A = [aij]3×3, where aij = 1 – j. State whether A is symmetric or skew–symmetric


Choose the correct alternative:
If aij =  (3i – 2j) and A = [aij]3 × 2 is


A matrix is an ordered:-


If the matrix 'A' is both symmetric and strew symmetric then.


Let M = `[(0, -α),(α, 0)]`, where α is a non-zero real number an N = `sum_(k = 1)^49`M2k. If (I – M2)N = –2I, then the positive integral value of α is ______.


Let A = `[(cosα, -sinα),(sinα, cosα)]`, α ∈ R such that A32 = `[(0, -1),(1, 0)]`. Then a value of α is ______.


The number of matrices A = `[(a, b),(c, d)]`, where a, b, c, d ∈ {–1, 0, 1, 2, 3, ............, 10} such that A = A–1, is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×