Consider the matrix a) Find the determinant of A. det (A) = -30 b) If det (A) = 0, find the inverse of A. A ə ab sin (a) əx 1 30 c) Verify your answer in (b). A-¹A = ə ab sin (a) əx f ∞ ∞ A = a a [ -5 5 Ω Ω 4 2 X

Q: Show that y = e", y = e2" , y = x and y = x² are linearly indepent functions %3D Hint: Use the…

A: To show y=ex,y=e2x,y=x,y=x2 are linearly independenr we are going to provethat the workian is…

Q: [1 х х] Let A = x 1 x. Find all values of x such that det(A) = 0. (HINT: First use row echelon Lx x…

A: See the detailed solution below.

Q: Please evaluate the determinant using Chio's method.

A:

Q: Suppose A= XAx-1. Take determinants to prove detA = detA = >.1>.2 ···An. This quick proof only…

A: Given: A=XΛX-1. Take determinants to prove detA=detΛ=λ1·λ2·. . . ·λn. To Fill in the blank: This…

Q: 1 -1 5) Let A= 1 0 -1 9-1 3 10 points a) Find A-. b) Find det(A), that is, the determinant of A.

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Q: /2 003 1Y 0-10 00 II-I0 (2 2 210,

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Q: a b c [#] e f Lg h i If det(A) = 3, compute the determinant of B. Let A = d B= -2 02 O-3 03 h i g 2a…

A: Given that, A=abcdefghi    and,  detA=3 B=ghi2a+d2b+e2c+fabc We have to find det(B) We have to use…

Q: Find |A-11. Begin by finding A-1, and then evaluate its determinant. Verify your result by finding…

A: The answers are as…

Q: 7. Consider 1 2 2 3 B = Find all values of b such that B is has no inverse.

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Q: Compute the determinants using cofactor expansion along the first row and along the first column.

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Q: File Preview A = 000 400 0000 06 020000 100 000 00 3000 50 00005 (a) Using any method, calculate the…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Compute the determinants using cofactor expansion along the first row and along the first column.

A: Co factors of first row: Therefore determinant value is,

Q: Compute the determinant of 5 -3 - -2 -3 B = 1 3 -2 -1 -6 4 2523

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Q: 1 Зі -5 A = | ₁/ i

A: Given matrix is A = 13ii-5

Q: P5. Establish Ak and find its determinant for for b b for b = (1, 1). Solve A100 x = b X 32 4-[83] A…

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Q: 1. Compute the determinant: 1 1 2 1 2-² 2 2 2 3 3 3 3 5 1 9-x²

A: Here we find the determinant using some properties.  The properties are- 1) if we subtract a…

Q: cos no sin ne - sin no cos no 4 -1 5 -4 -2 1 -3 1 -5 2 2 -1 3.

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Q: Compute the determinants using cofactor expansion along the first row and along the first column.

A: Now co factors of first row are

Q: Evaluate the determinant of the ナhc given mantrix using 91 92 93 result b2 bz = 5. C3

A: Given that:      a1a2a3b1b2b3c1c2c3=5

Q: Evaluate the determinant of the given matrix function. A(t) = | 2e* 5e 2t -5r

A:

Q: a. Use cofactor expansion to compute the determinant of A. b. Use elementary row operations to…

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Q: 1 5) Let A= 1 -1 TON 0 2 0 -1 3 -6 a) Find A-¹. b) Find det(A), that is, the determinant of A.

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Q: 0 - [1 4 Find the determinant of A = = 1 2 03 -3 8 - using a cofactor expansion.

A: We have to find out determinants

Q: -5 +- [55] 6 -3 (a) Find the determinant of A. det (A) = C = Let A (b) Find the matrix of cofactors…

A: A=-556-3 Note: We are allowed to solve three subparts at a time.

Q: 19 Find the determinants of U and U-¹ and U2. [1 4 6 U = 0 2 5 0 0 3 and b - [8 d U =

A: To find the determinants of U, U-1 and U2. (i) U=146025003 (ii) U=ab0d

Q: Find the determinant 0 0 0] 3 00 2 3 0 -7 92 A = -2 -1 -6 DEN 5 det (A) (A) = of the matrix K

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Q: 1 if k = i and l = j if k = j and l = i if k = l but k # i, j 1 (Si3)ke = 1 otherwise.

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Q: 1. Determinants. a) Calculate the following determinant and find the b value. CU6 -1 det CU2 Y = ax…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: While on a trip to ciudad Juarez in Mexico you notice that the posted speed limit is 85 kilometers…

A: Given   Speed=84 km/h  and 1 mile=1.609 km