## Question

###### Problem 12 Show that the following set is a subspace of M3x3, the space of all...

Problem 12 Show that the following set is a subspace of M3x3, the space of all 3 x 3 matrices by writing it as span of some symmetric 3 x 3 matrices. a 6 b с d 9 9 h : entries ERC M3x3 с What is dim(Q). Verify your answer.

## Answers

Poob ~.12 b Q = : entries EIR ç M3x3 b d g C g h dimia) Solni Jotal entries all in 9. but three repeated Hence can obtain by only 6. elennents so the dim(Q) = 6 OR ninta) dlm of symmetric matrix is 2 3(3+1) where n is the order of Matrix,

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