7. Let A be an invertible matrix. Prove that if A-1 = AT, then det(A) = ±1.

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A: 11.fx=x3+x2-5even function ; if fx=f-x odd function :fx=-f-x f-x=-x3+-x2-5=-x3+x2-5fx≠±f-x neither…

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A: This question can be solved using the concept of polynomials.

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A: Given.

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A: This question is related to Functions, we will solve it using given information.

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A: Follow the procedure given below.

Q: 6. Find the value of k so that x + 2 is a factor of 3x^3 - kx^2 + 2x - 4.

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A: We have to justify a,b,c,d .

Q: Write an equation for the line perpendicular to 2y-4x=-2 and that passes through the point (-6,0).

A: Solution of given question is written in below steps.

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Q: If A is a 3 x 3 matrix and B is a 2 x 2 matrix, then Select one: True False det(A) # det(B).

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Q: 6 + 54 5 3 2 21 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 +-6 + & 3 4 5 6

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A: Please see the below picture for detailed solution.

Q: 201 Exercise 10(d) page 131: Find the inverse, if exists, of the matrix A = 0 elementary row…

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Q: 3. 2 少 2 x=y x = 1/y? 4. x = -y -2 少 2-x=2-² 2 x

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Q: Convert the following mathematical expressions in appropriate formula QBASIC language: a. x = -r±…

A: Concept: Mathematical expression in Qbasic language: addition: +substraction: -exponent: ^division:…

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A: In this question we have to find the amount which is loaned out at 8%.

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Q: 9.) The number of bacteria Culture initial سما the is population a increasing according to growth.…

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