Which matrix multiplication is possible?
2 answers:
ANSWER
The correct answer is D
EXPLANATION
We use the dimensions of a matrix to determine if the multiplication of any two given matrices is possible.
Option A
The dimensions are
The inner products are not the same, so the matrix multiplication is not possible.
Option B
The inner products are not the same so matrix multiplication is not possible.
Option C
The inner products are not the same so matrix multiplication is not possible.
Option D
The inner products are the same. Matrix multiplication is possible.
The resulting matrix will have dimension
The correct answer is D
The correct answer is D
EXPLANATION
We use the dimensions of a matrix to determine if the multiplication of any two given matrices is possible.
Option A
The dimensions are
The inner products are not the same, so the matrix multiplication is not possible.
Option B
The inner products are not the same so matrix multiplication is not possible.
Option C
The inner products are not the same so matrix multiplication is not possible.
Option D
The inner products are the same. Matrix multiplication is possible.
The resulting matrix will have dimension
The correct answer is D
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Answer:
Domain:
Inverse:
Step-by-step explanation:
Since this is a linear function, the domain and range is simply the set of real numbers.
The inverse is obtain by switching the places of x and y, then solving for y.
Here,
y = -x + 5
So switching x and y,
x = -y + 5
Solving for y again,
y = -x + 5
Thus,