8

Question 1

if {a1x + b1y + c1z = d1}….?
(ditto 2 and 3)

Answer 1

the corresponding matrix is
a1 b1 c1 d1
ditto 2 and 3

Question 2

row transformations resulting in equivalent system

Answer 2

*apply only to the augmented matrix
1) any two rows may be interchanged
2) any elements can be multiplied by non-zero real number
3) rows can be changed by adding to its elements a multiple of elements from another row

Question 3

dependent systems..?

Answer 3

have infinite solution

Question 4

independent systems…?

Answer 4

have one solution

Question 5

inconsistent systems…?

Answer 5

have no solution

Question 6

consistent systems…?

Answer 6

have one solution

Question 7

m x n matrix…?

Answer 7

matrix has m rows and n columns
“m x n matrix”

Question 8

adding/subtracting matrices

Answer 8

must have the same dimensions

Question 9

matrix multiplication

Answer 9

A - m x n
B - n x k
product - m x k

Question 10

determinant 2x2 matrix

Answer 10

a11(a22) - a21(a12) = det(A)
or |A|