SOLUTION: A=(1 0) (0 2) B=(0 1) (1 0) X=(a b) (c d) Find the value of a+b+c+d when AX=B Please help me with solution P.S the answer should be "3/2" Thank you so mu

Algebra ->  Matrices-and-determiminant -> SOLUTION: A=(1 0) (0 2) B=(0 1) (1 0) X=(a b) (c d) Find the value of a+b+c+d when AX=B Please help me with solution P.S the answer should be "3/2" Thank you so mu      Log On


   

Question 1007431: A=(1 0)
(0 2)
B=(0 1)
(1 0)
X=(a b)
(c d)
Find the value of a+b+c+d when AX=B
Please help me with solution
P.S the answer should be "3/2"
Thank you so much for your help!
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
this is just matrix multiplication, you multiply rows of A by columns of X to get elements of B
( 1 0 ) times ( a b )
( 0 2 ) ( c d )
*****************************
( a b ) equals ( 0 1 )
( 2c 2d ) ( 1 0 )
a = 0, b = 1, c = 1/2, d = 0
0 + 1 + (1/2) + 0 = (3/2)