SOLUTION: <pre> Let A= [0] B=[1 2 3] C=[-3 7] [-4] [0 5 2] [ 9 8] [3] [0 0 1] Find: 2AB, C+3A, (-B)^2</pre>

Algebra.Com
Question 858348: 
Let A= [0]  B=[1 2 3]  C=[-3 7]
       [-4]   [0 5 2]    [ 9 8]
       [3]    [0 0 1]

Find: 2AB, C+3A, (-B)^2
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Let A= [0]  B=[1 2 3]  C=[-3 7]
       [-4]   [0 5 2]    [ 9 8]
       [3]    [0 0 1]

Find: 2AB, C+3A, (-B)^2

2AB is not defined because the only matrix products that are defined
is when the matrix on the left has the same number of columns and the 
matrix on the right has rows. 2BA is defined, but not 2AB.  Remember,
matrix multiplication is not commutative.

C+3A is also not defined because matrix addition is only defined when
the matrices to be added have the same dimensions.

(-B)^2 is defined

(-B)² = (-1·B)×(-1·B) = (-1)·(-1)·B×B = 1·B×B = B×B =



Edwin
RELATED QUESTIONS

A=[ 5 0 -9       
   -5 6  2] 
  
B=[ 2  7                  
   -2 -4]... (answered by Edwin McCravy,AnlytcPhil)


Let C=    and D=
[-4 -4]  [ 0 -2]
[ 0  2]  [ 5  7]
[ 4  5]  [-1  2]

Find... (answered by Edwin McCravy)

Evaluate:
a) [16^1/2 + (2/3)^0]^-2
b) (7^0 - 4^-1)^-3
c) (5^-2 + 4^0)^-1
d) -8^0 +... (answered by Fombitz)



what is the value of this determinant?
{{{abs(matrix(6,6,
1,   1,   1,   1,    (answered by Edwin McCravy)

a.For matrix A = 
( 5 7 2 )
( 9 6 4 )
( 3 2 1 ) and  

B = 
(4 7 3) 
(1 1 3) 
(8... (answered by ikleyn)

Given A=[{3 2 5} {4 7 -3}]
C= [{2 -1 8} {5 0 3}]
Find B if A+B=C
3 2 5
4 7... (answered by richwmiller)


Find the range:
y = 2x + 3    use {0, 1, 2, 3} as the... (answered by AnlytcPhil)

Find the inverse of the function given by the ordered pairs below:
(5, -2) (7, -1) (8,... (answered by Nate)

 Which set of ordered pairs does NOT represent a function?
A)	(0, 1), (2, 2), (4, 8),... (answered by acw1213)