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Matthew Reeves has $26,000 invested in stock A and stock B. Stock A currently sells for $20 a share and stock B sells for $80 a share. If stock B doubles in value and stock A goes up 50%, his stock will be worth $47,000. How many shares of each stock does he own?
____ shares of stock A
____ shares of stock B
An augmented matrix for the following system of equations.
x – 2y + 8z = -6
8x – 3y + 4z = 7
8y – 4z = -4
The entries in the matrix are:
_______________________.
A = [-2 4] , & B= [-2. 1]
1 3 3 8
a. Find AB, if possible.
A. AB= _______.
B. The product AB cannot be found.
b. Find BA, if possible.
A. BA= ________.
B. the product BA cannot be found.
c.Are the answers in parts a and b thesame?
A. yes
B. no
d. In general, for matrices A and B such that AB and BA both exist, does AB always equal BA?
A. Yes
B. No
Perform the indicated operation, if possible.
4 8 5 -9 + 8 0 -15 2
6 -4 11 1 -1 7 -10 9
A. The resulting matrix is______.
B. The matrices cannot be added.
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