Let B 2 2 4 5 0 5 Compute the indicated matrix If this is n

Let B = [2 -2 -4 -5 0 5] Compute the indicated matrix. (If this is not possible, enter DNE in any single blank). B^TB

Solution

B= 2 -2 -4

-5 0 5

order of B=2*3

B^T=

2 -5

-2 0

-4 5

order of B^T = 3*2

B^TB= 3*2(2*3)

since no of columns of B^T = no of rows of B(multiplication rule satisfies)

matrix multiplication posible

resultant matrix of 3*3

=2 -5 2 -2 -4

-2 0 -5 0 5

-4 5

=2*2+(-5)(-5) 2*-2+(-5)(0) 2(-4)+(-5)(5)

-2(2)+0(-5) -2(-2)+0(0) -2(-4)+0(5)

-4(2)+5(-5) -4(-2)+5(0) -4(-4)+5(5)

=4+25 -4-0 -8-25

-4-0 4+0 8+0

-8-25 8+0 16+25

B^TB = 29 -4 -33

-4 4 8

-33 8 41