Question

Find a matrix A such that [ [i] [ A0 = -2, A 11 = 10] L5 *[-[*] -[0]-[8) 68)-[] 0] 0 = CTN 1 A=

Answer 1

Let the matrix A be of the form

a	b	c
d	e	f
g	h	i

If you multiply this matrix with the vector [1 0 0], then you will get the terms as [a d g] = [3 -2 5]

Hence the value of a=3,d=-2 and g=5

If you multiply this matrix with the vector [0 1 0], then you will get the terms as [b e h] = [-3 -2 5]

Hence the value of b=-3,e=-2 and h=5

If you multiply this matrix with the vector [0 0 1], then you will get the terms as [c f i] = [-4 1 4]

Hence the value of c=-4,f=1 and i=4

Hence the final 3X3 matrix will be

3	-3	-4
-2	-2	1
5	5	4

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