Recall that a square matric X is called symmetric if X^t=X, and
skew-symmetric if X^t=-X. Let A e Mn (R).
i. Show that 1/2 (A+A^t) is symmetric and 1/2 (A-A^t) is skew
symmetric.
ii. Show that every matrix can be obtained as the sum of a
symmetric matrix and a skew-symmetric matrix.
Recall that a square matric X is called symmetric if X^t=X, and skew-symmetric if X^t=-X. Let A e Mn (R). i. Show that 1
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Recall that a square matric X is called symmetric if X^t=X, and skew-symmetric if X^t=-X. Let A e Mn (R). i. Show that 1
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