Let T be a linear operator on a finite dimensional vector space V, and Let W1,W2,.....Wk be T invariant subspaces of V such that V =W1+W2+.....WK. Prove that T is diagonalizable  if and only if Twi is diagonalizable for all I.

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A: False

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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.