For each matrix; find its characteristic polynomial, its eigenvalues/spaces, and its algebraic and geometric multiplicities; decide if it is diagonalizable. 2000 0310 0031 0003 (a) A =

Q: Find the d. c. of 5x³ from the first principle.

A:

Q: 7. 5(c+4)=D.

A: To find the value of C

Q: Solve the equation: 8e = 16i

A: Given equation is : 8  ez = 16 i⇒ez = 2i let  z = x + iy ⇒  ex + iy   = 2i⇒ex (cos(y) +i sin(y)) =…

Q: Consider a positive integer n. Assume that the equation a + 17b + 17c = n has 6903 ordered solutions…

A: As per the question we have to find the largest value of n such that the equation a+17b+17c=n has…

Q: Solve the followny System fequetions. O by Substition

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Q: Solve. 44 39) Σ (-6n +7) n = 1

A:

Q: S- VE + 4) dx b)

A: We have to evaluate given integration ∫5x4-x5+4dx

Q: justify lim O Find and the xy

A: It belongs to Multivariate Calculus (specifically several variable),so I can do it in advanced…

Q: 2n ald a(d + g) ||

A: Given 2n=a(d+g) a=?

Q: 4x+2y=2 1.) 2x+2y=4

A: The given system of equation is: 4x+2y=22x+2y=4

Q: ) Solve: |5x - 7| = 3. a. -2, -4/5 b. 2 c. 4/5 d. 2, 4/5

A:

Q: 8) 2 . 1 1 X - 3

A: Simplification

Q: whats the answer to (2,1);m=2

A: Here we want to find the equation of the line Passing through the point (2,1) and slope m=2

Q: factor c.x2 −1/9

A:

Q: Solve for p and q where p#q, such that 31

A:

Q: Solve. 7) 2x = /3x + 4 Зx +

A: Square both sides and solve the quadratic equation. Take care of one thing that when we squaring an…

Q: 4. Determine the sum and the product of the roots of 3x2 11x – 6. %3D

A: Sum of roots = 11/3 Product of roots = 2

Q: Solve A= 2BC+ 2BD for B. B =

A: Let,  ax+b=c This gives, x=(c-b) /a is the required solution for x.

Q: Find two positive numbers a and b such that 2a + 3b = 1 and so that a3 + b2 is as small as possible.

A: Find  two positive numbers a and b such that 2a + 3b =1 and so that a3  + b2  is a small as…

Q: Find all values of the following roots. a) (31)¹/2 b) (-i)¹/4 c) (-1)¹/4

A: According to guidelines we can solve only first three subparts, please repost remaining subparts.

Q: Find +62+7) dr 1(2²³/20 +C

A: Integration  ∫3x2+6x+7dx

Q: 6. Which expression is equivalent to 3x( bx + 10) – (x - 5x+c)? A) -x +(3b +35) x- c B) -3bx + 25x +…

A: To find: The equivalent expression to the expression 3xbx+10-x2-5x+c. Calculation: Expand the…

Q: Find a pair of integers x and y such that 66x + 48y = gcd(66, 48)

A:

Q: n-K Shaw That

A:

Q: 1 Solve: (-2)*= 256 A) 8 C) B) -128 D) -8

A:

Q: 5) Solve: 2 1n(4 - 3x) + 1 = 7

A:

Q: compose a problem after exercise (24:6)+(32:8)+(81:9)|

A: Given Expression: (24:6)+(32:8)+(81:9)

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,…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Find the coefficient of x7 in (1 + x + x² + x³ + x4 + ...)¹3

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Q: of x so that x raise to the 4th=-8(i-square

A:

Q: Can you please solve this for C. Please do it on paper.

A: From the given information:

Q: 3. Solve: 5(9) + 40(32) - 450

A:

Q: 4. Solve 5x3 - 3x2 – 32x – 12 = 0

A: We have to solve the equation

Q: Given 16* + 20 = 25*, solve for a.

A:

Q: fG) Solve LI4 45(x-4) X-1 4J6C-4) X2-1

A: We solve the limit of given function.