Suppose a is a 3 x 3 matrix such that det (a) = 9. prove det (3 (a-! ') is equal to 3

 The proof is done below.

Step-by-step explanation:  Given that A is a 3 x 3 matrix such that det (A) = 9.

We are to prove the following :

For a non-singular matrix B of order n, we have two two properties of its determinant :

Therefore, we get

and so,

Hence proved.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

step-by-step explanation:

*calories burned = (weight)(calorie factor)*

calories burned = 180 (0.65)

calories burned = 117

the calories he used up is 117, which is 65% of his weight.