Write down the matrix of the linear transformation f that maps (1,0) to (3,1) and (0,1) to (-1,1)  A. Show that f is invertible and find the matrix of f-1.  B. Find the equation of the image of the unit circle x2+y2 = 1 under the linear transformation f. Write your answer in the form ax2 + bxy + cy2 = d C. Find the matrix that represents the reflection g in the line through the origin with angle of inclination 165 degrees.

Q: If f and g are linear transformations are represented by the matrices (0 -4/2 1) and (3 3/-5 -4),…

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Q: Illustrate the multiplying any row (or column) by a scalar do to the determinant?

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Q: (i) Find the matrix that represents the reflection g in the line through the origin with angle of…

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A: Note: As per the Q&A guidlines please repost the other question because both questions are…

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Q: Define the term determinant.

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A: Given that the matrices  A=-5-15-1  , b1=-1-1  , b2=21   .