4- Answer the questions considering the linear equations below. x + y +z = 5 x + 2y + 3z = 7 x + 3y + 6z = 11 c) Write the elimination matrices E21, E31, E32 and their inverses. d) Write down E and E-1 by using E21, E31, E32. e) Obtain A by satisfying the factorization A = LU. | a) Write these equations in matrix form as Ai = b } b) Put these equations in upper triangular form by following | the elimination steps. (Write 12,131, 132 explicitly in these steps)

Q: Solve for a: 10 8 a 7 a a =

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A:

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A:

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A: Given clear explanation below

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A: Given that:n9=n4n!9!(n-9)!=n!4!(n-4)!9!(n-9)!=4!(n-4)!

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: differenciate given expression with respect to x

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A: Given equation as

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A: Given: e-2t+6=5e-t for solving given equation we assume e-t=x so, given equation will be now become…

Q: Solve for x

A: Square both sides.  On right side use (a-b)^2= a^2 - 2ab + b^2

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A: In given equation firstly divide by F on both sides and find the value of b.

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A: Solution

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A:

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A: We have to find integral of the given function, here we use formula for integrating the polynomials.

Q: 3. Solve for the unknown whole number in the following expressions. (a) z + 14 = 2 R 13 (b) 62 +…

A: Explanation: a) z÷14=2 R 13 We know that,  Dividend = Quotient * Divisor + Remainder So,…

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A: Given,

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A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.