Repeat Problem 30 for the Pauli spin matrix C in Problem 6. Hint: Show that if a matrix is diagonal, say D = a 0 0 b , then f ( D ) = f ( a ) 0 0 f ( b ) .
Repeat Problem 30 for the Pauli spin matrix C in Problem 6. Hint: Show that if a matrix is diagonal, say D = a 0 0 b , then f ( D ) = f ( a ) 0 0 f ( b ) .
Repeat Problem 30 for the Pauli spin matrix C in Problem 6. Hint: Show that if a matrix is diagonal, say
D
=
a
0
0
b
, then
f
(
D
)
=
f
(
a
)
0
0
f
(
b
)
.
(2 1)
Problem 8.1.35: Suppose Ā = ( 6 3). Verify that the matrix B = AA" is
2 5.
symmetric.
Problem 4
Let A be a symmetric matrix and P be an orthogonal matrix. Show that A is positive
semi-definite if and only if P' AP is positive semi-definite.
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