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Mathematics

The matrix, A = [400030007]\begin{bmatrix} 4 & 0 & 0 \ 0 & 3 & 0 \ 0 & 0 & -7 \end{bmatrix} is a:

  1. Rectangular matrix

  2. Column matrix

  3. Diagonal matrix

  4. Identity matrix

Matrices

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Answer

Given,

A = [400030007]\begin{bmatrix} 4 & 0 & 0 \ 0 & 3 & 0 \ 0 & 0 & -7 \end{bmatrix}

A diagonal matrix is a square matrix in which all the elements outside the main diagonal are zero.

Thus, A is a diagonal matrix.

Hence, option 3 is the correct option.

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