Question: Let T : R 3 R 3 be the linear transformation defined by the formula T x 1 x 2 x 3 = x 1

Let

T

:

R

3

R

3

be the linear transformation defined by the formula

T

x

1

x

2

x

3

=

x

1

+ 3

x

2

2

x

3

2

x

1

+ 3

x

2

x

2

+

x

3

.

Determine whether

T

is an isomorphism and if so find the formula for the inverse linear trans-

formation

T

1

.

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