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Question: Answered & Verified by Expert
A square matrix $\left[\mathrm{a}_{\mathrm{ij}}\right]$ such that $\mathrm{a}_{\mathrm{ij}}=0$ for $\mathrm{i} \neq \mathrm{j}$ and $\mathrm{a}_{\mathrm{ij}}=\mathrm{k}$ where
$\mathrm{k}$ is a constant for $1=\mathrm{j}$ is called:
MathematicsMatricesNDANDA 2012 (Phase 2)
Options:
  • A diagonal matrix, but not scalar matrix
  • B scalar matrix
  • C unit matrix
  • D None of the above
Solution:
1672 Upvotes Verified Answer
The correct answer is: scalar matrix
Scalar Matrix. We know that, $\mathrm{A}=\left[\mathrm{a}_{\mathrm{ij}}\right]_{\mathrm{nxn}}$ is called a scalar matrix ifa $_{\mathrm{i}}$ $=0$ for $i \neq j$ and $a_{i j}=k$ for $i=j$ [where $k$ is constant $]$

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