14 4 -2 þ. if A= |-1 1 3 6 -1 2 show that A = A + KI for some constant k, where I is the unit matrix of order 3. Hence fin the inverse matrix A". 1 sine 1 c. Show that for all values of 0, the determinant of -sine 1 sine lies -1 -sine between 2 and 4 inclusive. State one value of 0 for which the determinant has the value 2, and one for which it has the value 4.

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Q: Draw the hyperbola with the equation: 3x2 − 2y2 + 6x − 8y = 6.

A: Given the equation of the hyperbola : 3x2-2y2+6x-8y=6.

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: Compute the following determinant by cofactor expansions. At each step, choose the row or column…

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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: 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 in using cofactor expansion along the first row and along the first column.

A: Consider a determinant: D=1-10-10101-1……1

Q: 2. Solve for ₂ using Cramer's Rule. All determinants must be calculated using Gaussian elimination.…

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

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A: We need to find , determinant of a2 + 2a2a + 112a + 1a + 21331 We will use cofactor method ,  For…

Q: Find the determinant of sina Cos aj Icos a sin al and simplify. a. cos 2a + sin?a b. 1- 2cos?a C.…

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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: Compute the following determinant. -5 -5 1

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Q: 4. Find the solution of the system of linear equation a) By Matrix Inversion b) By Cramer's Rule 2x…

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Q: 0 -3 5 1 0 1 0 6-58 0 -1 -1 3 4 -2 0

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Q: Please answer Exa 6.4.3.

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Q: 3i3 + 3i1 – 5iz = 7.5 i2 - 7i; + 2i1 =– 17.5 - 10iz + 4iz + 5i3 = 16 1. Write the above system of…

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Q: 2 11 -4 and B = [1 9 5], then find: 7 Determinant of AB 2) Determinant of BA al If the matrix A =

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