1. If Lyndsey studies for her test, then she will pass. Hypothesis Conclusion:
1 answer:
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Answer:
The answer is (B)
Step-by-step explanation:
* At first we must now the dimensions of the matrix AB
- If we have two matrices the first of dimension m × n
and the other of dimension p × q, the multiplication is
exist if n = p and the dimension of the answer is m × q
∵ The dimension of matrix A is 3 × 2
∵ The dimension of matrix B is 2 × 2
∴ The dimension of AB will be 3 × 2
* From the answer we have only 2 answers have the same
dimension, answer B and answer D
- To find each element in AB we will multiply each raw
in A with each column in B lets do it
∵ 1 × 1 + (-4) × (-2) = 1 + 8 = 9 ⇒ 1st raw , 1st column
∵ 1 × 7 + (-4) × 11 = 7 - 44 = -37 ⇒ 1st raw , 2nd column
∵ (-3) × 1 + 2 × (-2) = -3 - 4= -7 ⇒ 2nd raw , 1st column
∵ (-3) × 7 + 2 × 11 = -21 + 22 = 1 ⇒ 2nd raw , 2nd column
∵ 7 × 1 + (-5) × (-2) = 7 + 10 = 17 ⇒ 3rd raw , 1st column
∵ 7 × 7 + (-5) × 11 = 49 - 55 = -6 ⇒ 3rd raw , 2nd column
* AB =
* The answer is (B)