Matrix P has a dimensions of 3 X 4 and Matrix Q has the dimensions 4 X 5. Determine the dimensions of the matrix PQ if it is pos
sible. Explain why if it is not.
Group of answer choices
Matrix PQ would have the dimensions 3 X 4
Matrix PQ would have the dimensions 4 X 5
Matrix PQ would have the dimensions 3 X 5
These matrices can not be multiplied because their dimension don't align.
Group of answer choices
Matrix PQ would have the dimensions 3 X 4
Matrix PQ would have the dimensions 4 X 5
Matrix PQ would have the dimensions 3 X 5
These matrices can not be multiplied because their dimension don't align.
1 answer:
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Answer:
and
Step-by-step explanation:
Given:
Equation 1:
Simplifying the above equation by dividing both sides by 100
Equation 2:
Simplifying the above equation by dividing both sides by 400.
Now the system of equation is:
(1a)
(2a)
Solving by elimination
Multiplying equation (2a) with
(2b)
Adding equations (1a) and (2b) in order to eliminate
+
We get
∴
Plugging in equation (2a).
Adding both sides.
∴