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

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1. Find the order of the following matrices.

(i)

(\begin{array}{l} \sin θ & - \cos θ \\ \cos θ & \sin θ \end{array})

\(=\)

i \times i

(ii)

(\begin{array}{l} 1 & 3 \\ \sqrt{2} & 5 \\ \frac{1}{2} & - 4 \end{array})

\(=\)

i \times i

2. Consider the following information regarding the number of men and women workers in three factories I, II and III.

Represent the above information in the form of a matrix. For example, what do the entry in the second row and first column represent?

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

The entry in the second row and the first column is .

3. If a matrix has \(16\) elements, what are the possible orders can it have?

The possible orders are

4. Construct a \(3 \times 3\) matrix whose elements are \(a_{ij} = i^2 j^2\).

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

Did you find an error?

2. Two marks example problems I