Evaluate each determinant in Exercises 1-10. |5 1. 2 3 4 8 2. 5 6 7 -4 1 7 3. 5 6 4. -2 -5 -7 5. 14 1 -3 6. -8- -4 2 -5 7. 8. -2 9. 10. on-len m -in o lem- 2.

Q: Let A be an n × n nonzero matrix satisfying A10 = O. Explain why A must be singular. What properties…

A: Here given

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

A: We have to take row or column element which has more number of zeros to make least computation.

Q: 10 Find the determinants of A, B, C: 0 3 7 1 7 1 6 0 0 0 0 1 0 4 0 3 8 1 0 0 0 0 0 3 0 0 0 0 0 2 0 0…

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Q: Evaluate each determinant in Exercises 1-10. 1. 5 7 2. 4 5 6 8 3 3. -4 1 4. 7 9. 6. -2 -5 5. -7 14 1…

A: Determinant is calculated only for square matrices. A square matrix is a matrix with same number of…

Q: 3 6 Evakuate the determinant for the followeng matrix 5/ 1 OAR OC.

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Q: How many permutations of (1, 2, 3, 4) are even and what are they? Extra credit: What are all the…

A: Permutation: The even permutation are (1,2,3,4) The permutation , (1,2,3,4) (1,4,2,3) (2,3,1,4)…

Q: In Exercises 46-51, evaluate each determinant. 3 2 46. 1 -2 47. -4 4 48. 1 -1 49. -5 4 1 2 1 50. 51.…

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Q: Evaluate each determinant in Exercises 27–32. 27. 13 0 28. 4 3 2 2 1 1 -5 -1 4 2 -1 -3 5 29. 3 1 30.…

A: 27. The given determinant is, 30021-525-1 On solving the given determinant, we get…

Q: In Exercises 41–42, evaluate each determinant. 3 1 7 -1 14 -3 7 -5 |-2 1 5 41. 42. 19 -6 4 1 0 7 3…

A: We know that for a 2×2 matrix abcd is simplified as abcd=ad-bc (41) Now, we have,…

Q: Compute the determinant using a cofactor expansion down the second column. 1 |-2 1 -6 -2 8

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Q: 6- Find the determinatitof both E,fina way Sarrus

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Q: Q4. Without solving (proper computation), show that determinant of the following matrix is zero. -1…

A: The Given matrix is 1-13-8-522-26To show the determinant of above matrix is zero without…

Q: Evaluate each determinant in Exercises 23-28. 3 0 23. 2 1 2 5 |4 24. 3 2 -3 0 0 -5 -1 4 -1 5 -4 2 0…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: Compute the determinant of the matrix by cofactor expansion. 325 114 O-56 -8 O110 8

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Q: compute the following determinant by using sarras rule 123 5 1 4 603

A: given,

Q: 18.Find determinant of matax A=14-1| detfA)=

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Q: Prove the identity without evaluating the determinant (Using properties). ai b1 + tai c1+ rb1 + sa1…

A: Note the following properties of determinant : Property 1 : If any two rows (or columns) of any…

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

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Q: evaluate each determinant by expanding by minors along the first row. −2 −3 −4   5 −6   7  -1  2…

A: Evaluate the determinant -2-3-45-67-120

Q: 7. find the determinant of the following matriz : 15 -2 4 -5 -3 6 6 -7]

A: # we are entitled to solve one question at a time, please resubmit the other question of you wish to…

Q: 2. Use determinants to calculate the area of the triangle with vertices (-1,2), (5,-3), and (4,4).

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Q: Compute the following determinant efficiently: 0 1 -1 0 2 2 07 2 -1 1 1 2 1 2 -2 -1 0 0 1

A: NOTE: Refresh your page if you can't see any equations. . by add or subtract, one row to another…

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

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Q: Compute the following determinant. 4 6 -6 4

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Q: Compute the determinants in by colactor expansions. At each step, choose a row or column that…

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Q: 1- Using the determinants, find the area of triangle with vertices: (1,4), (2,3), and (-5,-3).

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: In Exercises 41-42, evaluate each determinant. 3 1 -2 3 3 0 42. ||5 0| 41. 1. 4 -3 9 -6| 5| -9- 7 7…

A: We have  (41) A=31-23    7  01   53007   9-635 Find the determinant. A=31-23    7  01   53007…

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

A: It is a problem of Linear Algebra, matrix algebra.

Q: Find the nonzero term in the permutation expansion of the following determinant and calculate the…

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Q: -1 B/: 40 22 :- 12 21

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Q: .

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Q: Find the determinant. P w(x5, x ³) = X x5 = 3x²5x4 = (x³)(5x4) — (3x²)(x5) - The Wronskian…

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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: Consider the following points. (3, 5, -4), (2, 0, -5), (o, 6, -2), (-1, 1, -3) Set up and evaluate a…

A: Given data points (3, 5, -4), (2, 0, -5), (0, 6, -2), (-1, 1, -3) to check whether they are coplanar…

Q: Compute the following determinant. 4 -6 |-4 1|

A: Given

Q: 63. Use the determinant to determine whether A= [; ] 1 2 is invertible. If it is invertible, compute…

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Q: Use determinants to find out if the matrix is invertible. - 25 2 - 5 -6 2 O 10 -3 1,

A: A metric is set to be invertible if its determinant is non zero. We will find the determinant of the…

Q: Prove the identity without evaluating the determinant (Using properties). a1 b1 + tai c1+rb1 + sa1…

A: Consider the LHS=a1b1+ta1c1+rb1+sa1a2b2+ta2c2+rb2+sa2a3b3+ta3c3+rb3+sa3. Use the sum property of…

Q: Consider the following system of linear equations: 2x, +2х, — х, %3 6 4х, +3x, + х, %319 1. Зх, —…

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Q: find the values of λ for which the determinant is zero. 2 λ + 1 0 0 1 O(-1, 1, 1) O(-1, 1, 0) O(-1,…

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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: Compute the determinants in by colactor expansions. At each step, choose a row or column that…

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Q: In Exercises 17–18, evaluate each determinant. 17. -1 -3 18. 3 4 -1 0 5| 7 4 -3 4 2

A: The given matrix is -1-374

Q: Determine the Determinants of mat A * 1 -2 3 mat A = | 7 8. 1 -3 -9 -10]

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Q: Compute the determinants in by colactor expansions. At each step, choose a row or column that…

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Q: 7.0 4 -1 8.0 |4 7 3 -2 2 8 -3 5 -5 2 -1 0 -2 2.

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Q: Use determinant to find out, if the matrix is invertible. 2 1 -7 -5 0 3 8 6.

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…