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The Trace of the Matrix a = ⎡ ⎢ ⎣ 1 − 5 7 0 7 9 11 8 9 ⎤ ⎥ ⎦ ,

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Question

The trace of the matrix \[A = \begin{bmatrix}1 & - 5 & 7 \\ 0 & 7 & 9 \\ 11 & 8 & 9\end{bmatrix}\], is

Options

  • 17

  • 25

  • 3

  • 12

MCQ
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Solution

 17 

The trace of a matrix is the sum of the diagonal elements.

\[\therefore\] Tr

 \[\left( A \right)\]   = 1 + 7 + 9 = 17

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Chapter 4: Algebra of Matrices - Exercise 5.7 [Page 68]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 4 Algebra of Matrices
Exercise 5.7 | Q 31 | Page 68
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