Let S be the parallelogram determined by the vectorsb_{1}=\begin{bmatrix

jernplate8

jernplate8

Answered question

2021-09-22

Let S be the parallelogram determined by the vectors
b1=[23]
and
b2=[25]
and let
A=[6332]
Compute the area S under the mapping xAx

Answer & Explanation

Derrick

Derrick

Skilled2021-09-23Added 94 answers

Construct a matrix that encompasses the parallelogram.
S=[b1b2]=[2235]
Apply theorem to obtain area of parallelogram which is |det(S)|, then apply theorem to get the area of T(S)
|det(A)||det(S)|=|6332||2235|=|129||10+6|=34=12
Answer:
12

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