2) Let A beCompute:(i) AT5 1[H]4 1(ii) A¯¹ (iii) (A²)ˇ¹tr(AAT)(iv) (4¨¯¹)²_(v) A Aª(vi)

Answered: 2) Let A be 51 4 1 Compute: -1 T A (i)…

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Question

2) Let A be
Compute:
(i) AT
5 1
[H]
4 1
(ii) A¯¹ (iii) (A²)ˇ¹
tr(AAT)
(iv) (4¨¯¹)²_(v) A Aª
(vi)

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The inverse of the matrix: $A = [\begin{matrix} a & b \\ c & d \end{matrix}]$ is calculated using the formula: $A^{- 1} = \frac{1}{|\begin{matrix} a & b \\ c & d \end{matrix}|} [\begin{matrix} d & - b \\ - c & a \end{matrix}]$ .

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2) Let A be 51 4 1 Compute: -1 T A (i) A² (ii) Ã¨¹_ (iii) (4²)`¹ (iv) (4²¹)² (v) A A² tr(AA¹) (vi)