Question: (a) If write down the transpose matrix P T . Calculate PP T and hence show that P T = P 1 . What does

(a) If

P = 1 3 21 2] -2 2 1 -1 -2 2

write down the transpose matrix P^T. Calculate PP^T and hence show that P^T = P^–1. What does this mean about the solution of the matrix equation Px = b?

(b) The matrix

IIx Ixy O Q, QQ, A F = 1xy Iy I,

occurs in the structural analysis of an arch. If

[1 0 -Q/A B = 0 1 -Q,/A 00 1

find E = BFB^T and show that it is a symmetric matrix.

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