Solution: As per the given question, Now we have to find \[{{\left( AB \right)}^{T}}\] So,
Exercise 5.4
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Solve:
Solution: As per the given question, Consider, \[L.H.S\text{ }=\text{ }R.H.S\] So,
Verify that:(2A)T = 2 AT
Solution: As per the given question, Consider, \[L.H.S\text{ }=\text{ }R.H.S\] So,
Verify that: (i) A + B)T = AT + BT (ii) (AB)T = BT AT
Solution: (i) As per the given question, Consider, \[L.H.S\text{ }=\text{ }R.H.S\] So, (ii) As per the given question, Consider, \[L.H.S\text{ }=\text{ }R.H.S\]...
Solve:
Solution: As per the given question, \[L.H.S\text{ }=\text{ }R.H.S\] So,
Verify that : (i) (A – B)T = AT – BT (ii) (AB)T = BT AT
Solution: (i) As per the given question, Consider, \[L.H.S\text{ }=\text{ }R.H.S\] (ii) As per the given question, So,
Verify that (i) (2A)T = 2 AT (ii) (A + B)T = AT + BT
Solution: (i) As per the given question, Consider, Put the value of \[A\] \[L.H.S\text{ }=\text{ }R.H.S\] (ii) As per the given question, Consider, \[L.H.S\text{ }=\text{ }R.H.S\] Hence...