Answer to Question #46093 in Other Engineering for Sapna

Question #46093
a) Check whether the forms 2x 2 + 3y 2 + 5z 2 4xz 6yz and 4x 2 + 3y 2 + z 2 6xy 2xz are orthogonally equivalent. (3) b) Use Gram-Schmidt orthogonalisation process to find an orthonormal basis for the subspace of C 4 generated by the vectors (1; i; 0; i), ( i; 0; 1; 2) and (0; i; 1; 1). (5) c) Which of the following matrices are Hermitian and which are Unitary? Justify your answer. (4) A = 2 4 1 i 0 i 1 1 i 0 1 + i 2 3 5 ; B = 2 4 1 p 2 0 1 p 2 0 1 0 p 2i 0 p 2i 3 5
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