Let T: V-->W be a linear transforma­tion between finite-dimensional vector spaces V and W Let B and C be bases for V and W, respectively, and let A=     [ T]C<--B. Show that rank(T) = rank(A).

Q: (a) A: va+v. (b) A: (av). (c) A: √ av.

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.