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If \(|2A|^3 =21\) and \(\begin{bmatrix} 1 & 0 & 0 \\[0.3em] 0 & α & β \\[0.3em] 0 & β & α \end{bmatrix}\), then a is (if \(α,β∈I\))
If \(|2A|^3 =21\) and \(\begin{bmatrix} 1 & 0 & 0 \\[0.3em] 0 & α & β \\[0.3em] 0 & β & α \end{bmatrix}\), then a is (if \(α,β∈I\))
Updated On: Nov 7, 2024
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The Correct Option is A
Solution and Explanation
the correct option is (A): 5
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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:
- 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.
- Subtraction of Matrices - Matrices subtraction is also possible only if the number of rows and columns of both the matrices are the same.
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