UPSKILL MATH PLUS

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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 \(AB\)
i×i
i×i
i×i
i×i
i×i
 
 
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 \(a\), \(b\)?
 
\(a\) \(=\)
 
\(b\) \(=\)