Let e₁ = 3 -2 and e₂- Ут and y2= 1 5 8 3 and let T: R² →R² be a [:] = linear transformation that maps e₁ into y₁ and maps е2 into y2. Find the images of and X1 [[4-8] x2 The image of - 4 is ☐

Q: 3. Let T: R² R2 be a linear transformation such that T H]-[ = -5x1 + 9x2 4x17x2 Find T-¹.

A: T:ℝ2→ℝ2 is a linear transformation  Tx1x2=-5x1+9x24x1-7x2

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A: We have to find of given elements.

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Q: ← [:] -[3] = Y₁ 5 into y₁ and maps e2 into y₂. Find the images of Let e₁ = 0 The image of and e₂= 4…

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A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Let e₁ = 1 0 into y₁ and maps €2 The image of and e₂ The image of = 0 into y2. 4 1-0 is 4 X1 is BH…

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