MathProblemsBank

1.7.17 Linear Transformations

Condition: let the fixed non -equal vectors \ (a \) and \ (n \) of three -dimensional space are unorgonal with each other. Prove the linearity of the transformation and find out its geometric meaning. \ [\ varphi x = (n, x) a- (a, x) n \]

Linear Transformations of Matrices in the Transition Between Bases, Coordinates of Vectors and Linear Operators.