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1. Find the order of the product matrix \(AB\) if
(i) | (ii) | (iii) | (iv) | (v) | |
Orders of \(A\) | \(3 \times 3\) | \(4 \times 3\) | \(4 \times 2\) | \(4 \times 5\) | \( 1 \times 1\) |
Orders of \(B\) | \(3 \times 3\) | \(3 \times 2\) | \(2 \times 2\) | \(5 \times 1\) | \(1 \times 3\) |
Orders of \(AB\) |
2. If \(A\) is of order \(p \times q\) and \(B\) is of order \(q \times r\), what is the order of \(AB\) and \(BA\)?
Order of \(AB\) \(=\)
Order of \(BA\) \(=\)
3. \(A\) has '\(a\)' rows and '\(a + 3\)' columns. \(B\) has '\(b\)' rows and '\(17 - b\)' columns, and if both products \(AB\) and \(BA\) exist, find \(a\), \(b\)?
\(a\) \(=\)
\(b\) \(=\)
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