Quiz Chapter 01: Introduction to Matrix Algebra

1. For an n \times n upper triangle matrix \left[ A \right],

2. Which one of these square matrices is strictly diagonally dominant?

3. The order of the following matrix is

• • • \begin{bmatrix} 4&-6&-7&2 \\ 3&2&-5&6 \\ \end{bmatrix}

4. To make the following two matrices equal

• • • \left[ A \right] = \begin{bmatrix} 5&-6&7 \\ 3&2&5 \\ \end{bmatrix}
    • \left[ B \right] = \begin{bmatrix} 5&p&7 \\ 3&2&5 \\ \end{bmatrix}

the value of p is

5. For a square n \times n matrix \left[ A \right] to be an identity matrix,

6. To make the following matrix to be diagonally dominant, the value of p needs to be

• • • \begin{bmatrix} 6&-2&-4 \\ 7&9&1 \\ 8&-5&p \\ \end{bmatrix}