Mention the type of matrix {bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 {bmatrix}

Correct Answer is : skew symmetric matrix

Correct Answer is : skew symmetric matrix

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Matrices

Question : 5 of 36

Marks: +1, -0

\begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}

Solution:

Concept:

An identity matrix has

1

s on the main diagonal and

0

s elsewhere.

Explanation:

The given matrix is

\begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}

All diagonal entries are

1

and all off-diagonal entries are

0

This exactly matches the definition of an identity (or unit) matrix of order

3

Answer:

Identity or unit matrix.

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