I am suppose to find the ker(T) of linear transformation of: G ( <mtable rowspaci

mravinjakag

mravinjakag

Answered question

2022-06-06

I am suppose to find the ker(T) of linear transformation of:
G ( a d c b ) = a + b + c 2 x + b c 2 x 2
the form T : V W
My problem is that I don't really know how to read the right side of the equation, is that a vector? A polynomial?
Am I supposed to take the right side of the equation and make it equal with 0?

Answer & Explanation

Donavan Mack

Donavan Mack

Beginner2022-06-07Added 24 answers

The transformation shown is a linear transformation from the space of 2 × 2 matrices to the space of polynomials of degree two-or-less, i.e., V is the vector space of 2 × 2 matrices, and W is the space of polynomials of degree two-or-less.
I echo Dietrich's comment: please post equations, not pictures. Search for "MathJax" to find out how to post equations in general.
Fletcher Hays

Fletcher Hays

Beginner2022-06-08Added 6 answers

G ( a d c b ) = a + b + c 2 x + b c 2 x 2 = 0 a = b = c = 0

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