Question:

The only integral root of the equation $ \begin{vmatrix} 2-y &2&3\\ 2 &5-y &6\\ 3 & 4 & 10-y \end{vmatrix}$=0 is

Updated On: Jul 2, 2022
  • y = 1
  • y = 2
  • y = 3
  • none of these
Show Solution
collegedunia
Verified By Collegedunia

The Correct Option is A

Solution and Explanation

Clearly $y$ = 1 satisfies it. $[C_3 = 3C_1]$.
Was this answer helpful?
0
0

Concepts Used:

Matrices

Matrix:

A matrix is a rectangular array of numbers, variables, symbols, or expressions that are defined for the operations like subtraction, addition, and multiplications. The size of a matrix is determined by the number of rows and columns in the matrix.

The basic operations that can be performed on matrices are:

  1. Addition of Matrices - The addition of matrices addition can only be possible if the number of rows and columns of both the matrices are the same.
  2. Subtraction of Matrices - Matrices subtraction is also possible only if the number of rows and columns of both the matrices are the same.
  3. Scalar Multiplication - The product of a matrix A with any number 'c' is obtained by multiplying every entry of the matrix A by c, is called scalar multiplication. 
  4. Multiplication of Matrices - Matrices multiplication is defined only if the number of columns in the first matrix and rows in the second matrix are equal. 
  5. Transpose of Matrices - Interchanging of rows and columns is known as the transpose of matrices.