Consider the matrix A = 1 0 0 0 a) Diagonalize the matrix A in the form A = SAST, with S an orthogonal matrix containing the (normalized) eigenvectors and A a diagonal matrix containing the eigenvalues. b) Using the eigenvalue decomposition computed in a), determine (including a short explanation!) a. the null space of the matrix A. b. the determinant of the matrix A. c. if the matrix A is positive definite, negative definite or indefinite. c) Compute the matrix B=A¹¹ d) Decompose the quadratic form Q(x) = x B x with x = [x₁x₂x3 as the sum of r = rank (B) squares of independent linear forms. Note: different solutions exist, one is sufficient! Either use the elimination method or the eigenvalue decomposition computed in a).

Q: Solve 4x x-2 1 2 b. x= -2,2 a. x= 3x-2 x-2 for x. C. x = -2 d. x=2

A: We can answer the question as below.

Q: You are buying a car. Would you prefer a higher rate for a lower term or a lower rate for a longel…

A: Given that You are buying a car. Would you prefer a higher rate for a lower term or a lower rate for…

Q: Please solve the third kne

A: Evaluate the integral  ∫tan6(3x)sec6(3x) dx

Q: solve for x  4)2)2x-3=60

A:

Q: solve for x

A: Solve the equation for x as follows.

Q: Can you solve for part D? I want to check my answer

A: Here we have to find the value of first roll minus the value of second rolls

Q: Solve ∆ABC. B = 25º, a = 125, c = 100 A= C= b=

A: Draw a schematic diagram of given question.

Q: 3) Solve for x. 10 Your answer 4) Solve for x. * 5n

A:

Q: 10) Solve a. b. X-6 x-3 x+2 X+1 = x = -2,-1 x = 1 for x. C. d. x==1 x = 0

A:

Q: SOLVE BY LINEAR METHOD - y'- 3 X Y = x 3 cos (x)

A:

Q: 3. solve the limeor d.cle ý+ 3y= e"

A: Solution: The objective is to find the general solution to the given differential equation

Q: 3x 2. Solve 256 = 16 x-2 by first expressing each side as base 4.

A: 2. Solve 2563x=16x-2 by first expressing each side as base 4.

Q: Solve i dining multiplication principle  -8/9T = 5/7

A: