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: Using the property of determinants, prove that |1 bc a(b+c)| 1 1 ab c(a+ b)| 2) ca b(c +a)| = 0

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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: sin x cOs x 1 – sin x 2sin x 2 cos x 3 cos x -1

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A: See the detailed solution below.

Q: 1. Consider (a) ê (c) E M = 135 247 89 a | Compute |M| by unfolding the matrix according to the…

A: The given matrix

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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: 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: b) Use cofactor expansion along an appropriate row or column to compute he determinant of -20 B = 0…

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A: Now co factors of first row are

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

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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.