Let A be an (n × n) matrix, and let λ be an eigenvalue of A. Prove that ifα is any scalar, then λ + α is an eigenvalue of A + αI.

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A: Thus columns of Matrix A spans R3 .Now,

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Q: What is the volume of a hemisphere with a diameter of 6.1 cm, rounded to the nearest tenth of a…

A: The objective of this question is to calculate the volume of a hemisphere given its diameter.

Q: Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as…

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Q: 3 Find all other zeros of P(x)=x³ + 3x² - 54, given that -3 + 3i is a zero. (If there is more than…

A: Step 1: Factor the given P(x)=x3+3x2−54Therefore, P(x)=(x−3)(x2+6x+18)Step 2: Using the zero factor…

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Q: 10:51 87 Assignment Overview 1 DeltaMath Score: 1/12 Penalty: 1 off Finding Holes Algebraically…

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Q: Solve each equation Show your reasoning 1, (x-8) (2x+5)=0 2. x² +13x+40=0 3. x²-6x-20=7

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Q: the table below lists prices for concentrated liquid laundry detergent. Find the unit price of each…

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Q: Calculate an LR decomposition of A using the Gaussian elimination method.Proceed as follows:(a)…

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A: The total revenue function for a product is given by Requals=745x​dollars, and the total cost…

Q: What is algebra

A: Algebra:-                      Algebra is a branch of mathematics that deals with symbols and the…