Five marks example problems II — task. Mathematics State Board, Class 10.

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1. If \(A =\)

(\begin{array}{l} 5 & 4 & - 2 \\ \frac{1}{2} & \frac{3}{4} & \sqrt{2} \\ 1 & 9 & 4 \end{array})

, \(B =\)

(\begin{array}{l} - 7 & 4 & - 3 \\ \frac{1}{4} & \frac{7}{2} & 3 \\ 5 & - 6 & 9 \end{array})

, find \(4A - 3B\).

Answer:

\(4A - 3B\) \(=\)

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

2. Find the value of \(a\), \(b\), \(c\), \(d\), \(x\), \(y\) from the following matrix equation.

(\begin{array}{l} d & 8 \\ 3 b & a \end{array}) + (\begin{array}{l} 3 & a \\ - 2 & - 4 \end{array}) = (\begin{array}{l} 2 & 2 a \\ b & 4 c \end{array}) + (\begin{array}{l} 0 & 1 \\ - 5 & 0 \end{array})

Answer:

a = i; b = \frac{i}{i}; c = \frac{i}{i}; d = i

3. If \(A =\)

(\begin{array}{l} 1 & 8 & 3 \\ 3 & 5 & 0 \\ 8 & 7 & 6 \end{array})

, \(B =\)

(\begin{array}{l} 8 & - 6 & - 4 \\ 2 & 11 & - 3 \\ 0 & 1 & 5 \end{array})

, \(C =\)

(\begin{array}{l} 5 & 3 & 0 \\ - 1 & - 7 & 2 \\ 1 & 4 & 3 \end{array})

compute the following:

(i) \(3A + 2B - C\) \(=\)

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

(ii) \(\frac{1}{2}A - \frac{3}{2}B\) \(=\)

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

Did you find an error?

4. Five marks example problems II