e.) Suppose U and W are finite dimesnional subspaces of an inner product space| V. Then Pru Prw = 0 if and only if (u, w) = 0 for all u EU and all w € W. g.) The matrix A E M4x4 (C) given by is unitary. A i 1 1 i 1
e.) Suppose U and W are finite dimesnional subspaces of an inner product space| V. Then Pru Prw = 0 if and only if (u, w) = 0 for all u EU and all w € W. g.) The matrix A E M4x4 (C) given by is unitary. A i 1 1 i 1
e.) Suppose U and W are finite dimesnional subspaces of an inner product space| V. Then Pru Prw = 0 if and only if (u, w) = 0 for all u EU and all w € W. g.) The matrix A E M4x4 (C) given by is unitary. A i 1 1 i 1
Transcribed Image Text:e.) Suppose U and W are finite dimesnional subspaces of an inner product space V. Then
Pru Prw
0 if and only if (u, w)
=
g.) The matrix A € M4×4(C) given by
is unitary.
=
0 for all u EU and all w & W.
A
12
1
−1
1
i 1
!.
i
1
i -1
i
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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