Linear algebra assignment help
Matrix A shown below is associated with a linear transformation and T(x)= Ax
1 3
A =
2 5
1. Find
1
T
0
0
T
1
2. Find
2
T
3
1
T
1
3. Linear Transformation T is a mapping from R2 → R2 and if T is onto then for every b
in R2 there is at least one x in R2 where T(x)= b. or said with matrices
Ax = b
has a solution for every possible b. Determine if T is “onto” or not.
4. Linear Transformation T is a mapping from R2 → R2 and if T is one-to-one then the only value in R2 where T(x)= 0. is x = 0 or said with matrices
Ax = 0
Determine if T is one-to-one or not.
5. Show that the following Linear Transformation is NOT linear
x1 − 2x2
x1
T = x1 − 3
x2
2x1 − 5x2
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