Homework Help: Math: Linear Algebra

Posted by mathstudent on Saturday, June 9, 2007 at 11:56pm.

Let T1: P1 -> P2 be the linear transformation defined by:

T1(c0 + c1*x) = 2c0 - 3c1*x

Using the standard bases, B = {1, x} and B' = {1, x, x^2}, what is the transformation matrix

[T1]B',B

T(c0 + c1*x) = 2c0 - 3c1*x --->

T(1) = 2

T(x) = -3x

So, the matrix elements are:

T_{1,1} = 2

T_{1,2} = 0

T_{2,1} = 0

T_{2,2} = -3

T_{3,1} = 0

T_{3,2} = 0

No one has answered this question yet.

Answer this Question

Related Questions

chem - using gas laws using P1,V1,T1,P2,V2,T2 soling for P2 P1,V1/T1 =P2,V2/T2 ...
Linear Algebra - a)Let v be a fixed vector in R^3. Show that the transformation ...
chemistry - The instruction booklet for your pressure cooker indicates that its ...
Calculus - Great! I understand now that C0=f(a) c1=f'(a) c2=f"(a)/2 Now...
Linear Algebra - (1) Define T:R->R be a linear transformation such that T...
Linear Algebra - In 3-space, a plane abc is spanned by three points a, b, c. The...
Physics - On a cool morning, when the temperature is 13 C, you measure the ...
Physics - We study water of 1.0 g/cm3 density in an open container with its ...
vapor pressure - The total pressure in a flask containing air and ethanol at 25....
math - Let f:A->B, where A and B are nonempty, and let T1 and T2 be ...

For Further Reading

First Name:
School Subject:
Answer: