First slide

Introduction to matrices

Question

Let $A$ be the set of all 3 x 3 symmetric matrices tries
are either O or 1. The number of elements in set $A,$ is

Moderate

A

$2^{3}$
B

$2^{6}$
C

$2^{9}$
D

18

Solution

X A symmetric matrix is symmetric about its diagonal
. equired number of matrices
= Number of ways of filling 6 places (3 diagonal and
three off diagonal above the diagonal with O and 1)
$= 2^{6}$

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