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Out of the Given Matrices, Choose that Matrix Which is a Scalar Matrix: [ 0 0 0 0 ] (B) [ 0 0 0 0 0 0 ] (C) ⎡ ⎢ ⎣ 0 0 0 0 0 0 ⎤ ⎥ ⎦ (D) ⎡ ⎢ ⎣ 0 0 0 ⎤ ⎥ ⎦ - Mathematics

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Question

Out of the given matrices, choose that matrix which is a scalar matrix: 

Options

  • \[\begin{bmatrix}0 & 0 \\ 0 & 0\end{bmatrix}\]

  •  \[\begin{bmatrix}0 & 0 & 0 \\ 0 & 0 & 0\end{bmatrix}\] 

  •  \[\begin{bmatrix}0 & 0 \\ 0 & 0 \\ 0 & 0\end{bmatrix}\] 

  • \[\begin{bmatrix}0 \\ 0 \\ 0\end{bmatrix}\]

MCQ
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Solution

`[[0    0],[ 0    0]]`

A diagonal matrix in which all the diagonal elements are equal is called the scalar matrix.

 

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Chapter 5: Algebra of Matrices - Exercise 5.7 [Page 68]

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RD Sharma Mathematics [English] Class 12
Chapter 5 Algebra of Matrices
Exercise 5.7 | Q 26 | Page 68
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