Question

8) (10 points) If T is a linear transformation give its matrix representation with respect to the standard basis. If T is not a linear transformation explain why not. 1. T(a,b) = (a+b, a-2b, 3a-b) 2. T(a, b) = a + 4b 3. T(a, b) = 2ab 4. T(a,b) = (a+1, b-1)

          8) (10 points) If T is a linear transformation give its matrix representation with respect to the standard basis. If T is not a linear transformation explain why not.
1. T(a,b) = (a+b, a-2b, 3a-b)
2. T(a, b) = a + 4b
3. T(a, b) = 2ab
4. T(a,b) = (a+1, b-1)

8) (10 points) If T is a linear transformation give its matrix representation with respect to the standard basis. If T is not a linear transformation explain why not.
1. T(a,b) = (a+b, a-2b, 3a-b)
2. T(a, b) = a + 4b
3. T(a, b) = 2ab
4. T(a,b) = (a+1, b-1)

Added by Joseph B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Victor Salazar

02/11/2023

Step 1

Step 1: For the linear transformation T, we need to find its matrix representation with respect to the standard basis. Show more…

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please explain step by step, simply and clearly thank you 810 points If T is a linear transformation give its matrix represen- tation with respect to the standard basis. If T is not a linear transfor- mation explain why not. 1.Tab=a+b,a-2b,3a-b 2.Tab=a+4b 3.Ta,b=2ab 4.Ta,b=a+1,b-1