Q11: a b c Let de 9 ● a d f = 7, find the determinants hi b C e f 3g 3h 3i a+d be c+f d f 9 Compute e h 1-3 1 -2 2 -5 -1 -2 0-4 5 1 -3 10 -6 8 in as few steps as possible. Let A be an n x n matrix such that A² = I. Show that det A = ±1.

Q: 710 4107 10-1 0414 (d)

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Q: Find the cofactor matrix C and multiply A times CT. Compare ACT with A-¹: [3 2 1 2 0 A = 2 -1 A 2 42…

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Q: [ab]. C d 6) (i) Compute the adjoint of A= (ii) Show that the determinant of A equals the…

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Q: [ k m B = a b х у z Z. [2a 2b 2с E = 2k 2m 2n [2x 2y 2z] a b F%3D k + 2a т+2b y

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Q: Without expanding along any row or column, use the properties of determinants to find the…

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Q: Question 4 of 20: Select the best answer for the question. 4. Evaluate the following determinant: O…

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Q: Find the determinant of the matrix A = [w v], where v and w are as shown below and the area of the…

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Q: Suppose that the matrix A = B = let X Y Z b с e h j f has determinant det B = 2. Find: a + 5x с d +…

A: The following matrix properties:

Q: a b c Given det d e f = 5, find the following determinants. h i a b det d. e f -3g -3h -3i a b det…

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Q: a a 3. Compute the determinant a a by using the row/column operations a a R, → R, + R, + R, C, →C,-G…

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Q: [2p a+u 3u 2qb+v 3v 2r cw 3w a b с Assume that p q r = 3. Find det(2B-¹) where B U V W [Hint: a…

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Q: Use the appropriate property of determinants to find a. Do not evaluate the determinants. Answer: a=…

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Q: Which of the following is the determinant of the 2 x 2 matrixA= (A) ad-be (B) be- ad (C) (D) ad-bc

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

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Q: 5. Consider the following four matrices: ab c ba 2a 2b 2c a-3c b+Sa A= d e f #ME B-f d de f D d-3f…

A: In matrix B there is change of column vector from C3 to C1 so determinant will be…

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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