Consider the bases for M2x2(R) given by a' : and a the stan- dard basis. For the transformation T : M2x2(R) → P2 given by T = (a+26)x2 + (b+3c)x+c+4d Consider the basis for P2 given by B' : x² + x,¤ – 1, x+1 and ß the standard basis. Find the following: ind the following: i. the change of coordinate matrix from a to a' v. [T]å vi. (T ii. the change of coordinate matrix from B to B' iii. the change of coordinate matrix from a' to a vii. [Ta" viii. [T iv. the change of coordinate matrix from B' to B

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A: Introduction :

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.