Two marks exercise problems I — task. Mathematics State Board, Class 10.

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1. In the matrix

A = (\begin{array}{l} 8 & 9 & 4 & 3 \\ - 1 & \sqrt{7} & \frac{\sqrt{3}}{2} & 5 \\ 1 & 4 & 3 & 0 \\ 6 & 8 & - 11 & 1 \end{array})

, write

(i) The number of elements \(=\)

(ii) The order of the matrix \(=\)

i \times i

(iii) Write the elements \(a_{22}\), \(a_{23}\), \(a_{24}\), \(a_{34}\), \(a_{43}\), \(a_{44}\).

\begin{array}{l} a_{22} = \sqrt{i}; a_{23} = \frac{\sqrt{i}}{i}; a_{24} = i \\ a_{34} = i; a_{43} = i; a_{44} = i \end{array}

2. If a matrix has \(18\) elements, what are the possible orders it can have? What if it has \(6\) elements?

If a matrix has \(18\) elements, the possible orders are \(=\)

If a matrix has \(6\) elements, the possible orders are \(=\)

3. Construct a \(3 \times 3\) matrix whose elements are given by

(i) \(a_{ij} = |i - 2j|\)

(\begin{array}{l} i & i & i \\ i & i & i \\ i & i & i \end{array})

(ii) \(a_{ij} = \frac{(i+ j)^3}{3}\)

(\begin{array}{l} \frac{i}{i} & i & \frac{i}{i} \\ i & \frac{i}{i} & \frac{i}{i} \\ \frac{i}{i} & \frac{i}{i} & i \end{array})

Did you find an error?

3. Two marks exercise problems I