Let B = {(1, 1), (2, 3)} and B′ = {(5, 2), (1, 3)} be two bases for R2. [T]B= 2 3 4 7 (a) Find (T (v))B′ , where (v)B′ = (2, −1). (b) Verify your answer in (a).

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Q: Let B = {1, t − 3, (t − 3)² } and C = - - {1, t − 2, (t − 2)²} - be two bases for P2. The function…

A: a=1b=-2c=5Explanation:

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A: We know that z=x+iy Then f(z) = z3+i-1= (x+iy)3+i-1 = x3+3x2iy+3xi2y2+i3y3+i-1=…

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A: Let's prove the given theorem schema using equational-style proof. Want to show:1. Prove :   Will…

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A: Solution is uploaded in next step

Q: Prove that I(r + 1) = ar(r). 3. ii. Prove th at 3(m, n) = B(m + 1, n) + B(m, n+ 1). %3D

A: The required proofs are detailed below.

Q: Let B = {1, t − 3, (t − 3)² } and C = - - {1, t − 2, (t − 2)²} - be two bases for P2. The function…

A: a=1, b=-2, c=5Explanation:Step 1: Step 2: Step 3: Step 4:

Q: (c) M=QPCR (d) N³ = 1

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A: give r1(t)=9ti+2t2j+6t3k and r2(t)=t4k So  r'1(t) =9i+4tj+18t2k and r'2(t)=4t3k

Q: Assume Pr[A]=0.3, Pr[B]=0.3, and Pr[A∩B]=0.05. Find the following values: 1. Pr[A|B]=  2. Pr[B|A]…

A: Note: Hey there! Thank you for the question. As you have posted multiple sub-parts, we have helped…

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.