Louisa is 152.7 centimeters tall. Her younger sister is 8.42 centimeters shorter than she is. How tall is Louisa's younger siste
2 answers:
Answer: 144.28 centimeters
Step-by-step explanation:
The height of Louisa = 152.7 centimeters
The difference in Louisa and her younger sister = 8.42 centimeters
Therefore, the height of her younger sister = centimeters
Thus, the height of her younger sister = 144.28 centimeters
Hence, Louisa's younger sister is <u>144.28 centimeters</u> tall.
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Answer:
True. See the explanation and proof below.
Step-by-step explanation:
For this case we need to remeber the definition of linear transformation.
Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:
1) T(x+y) = T(x) + T(y)
2) T(cv) = cT(v)
For all vectors and for all scalars
. And A is called the domain and B the codomain of T.
Proof
For this case the tranformation proposed is t:
Where
For this case we have the following assumption:
1) The transpose of an nxm matrix is an nxm matrix
And the following conditions:
2)
And we can express like this
3) If and
then we have this:
And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.