II. Find the determinants or prove the equations in the following. Properties of determinants or methods to evaluate may be used. la² + 2a 2a + 1 1| 6. 2a + 1 a+2 1 = (a - 1)³ 3 3 11

Q: 1. Use Gauss Elimination to solve the determinants for the following: 2x, + x2 - x3 = 1 5x1 + 2x2 +…

A: 1.  The given equations are, Converting given equations into matrix form

Q: Consider the fourth-degree polynomial equation a₁ + b₁x²q₁x² + b₂ a₂+ b₂x² a₂x² + b₂ a3 + b3x² a3x²…

A: Given that We know that determinant of a matrix is equal to zero if any two rows or two columns are…

Q: a a. Evaluate: a a a b. Evaluate: 0 0 0 a a a al la a a a a a a c. Evaluate: 0 0 a a 0 0 0 a d.…

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Q: Find the quotient of B/A. Use pivotal method in solving for ALL (3x3, 2x2, ...) determinants. 3 1 3…

A: given, A=3137077468328491, B=45675678678978910 B/A=BA-1A-1=1Aadj(A)let adj(A)= C for get the…

Q: Use the cofactor expansion to compute the following determinant: 5 6 5 det -3 9 7 %3D 6 9-8

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Q: I. Solve the determinant using the Co-factor expansion. (5 pts each) 3. D = -3 3 21 1 4 4. E = 1 I-5…

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Q: Use the fact that to compute the following determinant. |-5a +8g −5b+8h d 9 e h a b c d e f = 9 gh i…

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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: Evaluate the following 4 x 4 determinant. Use the properties of determinants to your advantage. -5…

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Q: Compute the determinant by cofactor expansion. At each step, choose a row or column that involves…

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Q: By computing the trace, determinant, and rank, determine that A and B are not similar. 3 B= 1. 0.…

A: For the given matrix check trace, determinant and rank

Q: Find the value of x From the Following re lations of determinants x 3-3 =D33=2 %3D 3 -8 -8 38

A: We have to solve 40xx3-33-8-8 = 3x2 -8x8x - 0838

Q: Use the method of elementary operations to evaluate the determinant 2 -4 3 6. 1 2 -2 3 -5 4 -4 -2 3…

A: To find- Use the method of elementary operations to evaluate the determinant 2-43612-23-54-4-23734…

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: From the given determinant supply the needed minor of the element 5. 3 -2 1 A = -1 -4 -3 5 A. |-2 1…

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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: Consider the expression that appears under the radical symbol in the quadratic formula; the…

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Q: . Solve these two simultaneous linear equations using Cramer's method of determinants.

A: Given,

Q: -3 5 and 2j where j is the imagi- 2j j 1 (a) Evaluate the following determinants: 6. -8 nary unit.

A: Given: -356-8 and 12j2jj to evaluate the determinant of the following matrix. The determinant is a…

Q: Find the determinants a f = 7. 2d + a 2e + b 2f +c i е во

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Q: Find the determinant, assuming that abc de f = 2. ghi 6a b/7 -c 오ㅜㅜ 6d e/7 -f 6g h/7

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Q: 2 Find the determinant of 1 3 -1 using -2 6 5 a. cofactor expansion about the 1st row b. cofactor…

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Q: 1. Evaluate the required determinant using the following techniques and show your step-by-step…

A: Given: Use the following strategies to evaluate the required determinant and show your step-by-step…

Q: Evaluate the following determinant. 4 -4 0 -1 3 1 9-

A: we have to find the following determinant

Q: Combine the methods of row reduction and cofactor expansion to compute the determinant. - 1 - 5 - 4…

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