Exercise 4.14. Suppose ƒ is any polynomial. (a) If d is a nonzero constant polynomial, what are the unique polynomials q and r for which f = q •d +r and the degree ofr is strictly less than the degree of d? (b) If the degree of f is equal to the degree of d, what are the unique polynomials q and r for which f = q •d +r and the degree of r is strictly less than the degree of d? %3D (c) If the degree of ƒ is strictly less than the degree of d, what are the unique polynomials q and r for which f = q •d+r and the degree of r is strictly less than the degree of d? (d) Construct polynomials f, d, q, r for which f = q •d+r and the degree of r is two less than the degree of d and the degree of g is equal to the degree of d.

Q: Find (a) ∣AT∣, (b) ∣A2∣, (c) ∣AAT∣, (d) ∣2A∣, and (e) ∣A−1∣.

A:

Q: Could you explain (b),(c) too?

A: We already have an orthonormal basis B from the standard basis is

Q: Could You also Answer (D) to (F)

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Q: Thank you!!

A:

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Q: Hi can you please answer b(iii), b(iv) and c?

A:

Q: (n+3)!

A: (n+3)!/n! =(n+3)(n+2)!/n!

Q: 2log4(?) − 9log?4 = 3

A: Given:

Q: How did u get  the 18?

A: Probability = favorable/total  Total balls = 8  Numbered from 1 to 8

Q: -5+2(8-12)

A: Use PEMDAS rule to simplify.First we work with the parenthesis. In it 8-12=-4

Q: passes through (-4, -3)

A: Given: (-4, -3), (-9, 26), and (-3, 3

Q: True or false? {4} C {{3}, {4,4}, {{4}}}. True False

A:

Q: Evaluate:

A: Evaluate                                             -4200231031021303 Let us evaluate the…

Q: The tour described in problem 1 traced out a quadrilateral. Find the number of square miles that…

A: Given, Coordinates of point A = (0, 0) Coordinates of point B = (400, 300) Coordinates of point C =…

Q: What are the values of u5 and u1?

A: This is the problem of optimisation.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.