Determine whether S is a basis for P3.S = {4t − t2, 5 + t3, 5 + 3t, −3t2 + 2t3}

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A: We have to write

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A: Given :   B={1+5t2,-6+t-29t2,1-6t} Standard basis of P2  : C={1,t,t2} Now PC←B =v1,v2,v3 So,…

Q: -6 Let A- Ч -2 Constauct 2 X2 mat mix B such that AB is the matmik. Use zero two different nonzer0…

A: Given matrix,

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.