a 3. Define the function T: R3 P2 by the operation T(b). = cx²+(ab)x. Demonstrate whether T satisfies the sum and scalar multiple rules required for linear transformations.
a 3. Define the function T: R3 P2 by the operation T(b). = cx²+(ab)x. Demonstrate whether T satisfies the sum and scalar multiple rules required for linear transformations.
a 3. Define the function T: R3 P2 by the operation T(b). = cx²+(ab)x. Demonstrate whether T satisfies the sum and scalar multiple rules required for linear transformations.
Transcribed Image Text:a
3. Define the function T: R3 P2 by the operation T(b).
=
cx²+(ab)x. Demonstrate
whether T satisfies the sum and scalar multiple rules required for linear transformations.
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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