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 3 -4 -8 2 7. -5 8. -2 9. 10. 2 6. 2. 2. -IN-10

Q: Evaluate the determinant of the matrix. -5 4 -5 -1 3 -1 a) -40 b) 50 C) -50 d) -30 e) 30 Leave blank

A: here option d is true

Q: Each equation in Exercises 1-4 illustrates a property of determinants. State the property. 1. 0 5 -2…

A: Given that the determinant 05-21-364-18 we know that The determinant of interchanging any two rows…

Q: 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…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2a₂b₁ Let A = ab₂ + a₂b₁ a₁b3 + a3b₁ a₁b₂+ a₂b₁ 2a₂b₂ a3b₂+ a₂b3 a₁b3 +azb a₂b3+a3b₂. Expressing…

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Q: Jse determinant to calculate the area of a triangle with the following vertices: A = [2,1] B = [8,7]…

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Q: 9. 4 -6 -21 7 3. 8 -3 4 -7 8 8 0 13 17 31 7 9 4 23 4. -6 11 0 3 6 0

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Q: 12 2 0 3-4 −4|= 27 4 12 2 0 3-4 03 0

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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: Using determinants, find the area of the triangle whose vertices are (-1,1), (2,2), and (-2,4).…

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Q: Reduce the given determinant to upper triangular form 2 32 14 26 104 26-13 2 56 2 7 40 15 1 12 23 2…

A: The determinant of an upper triangular matrix is the product of diagonal elements.

Q: Find u - v, 2(u + 3v), and 2v - u. u = (0, 3, 4, 4, 4), V3 (8, -3, -5, б, 3) (a) u - v = (b) 2(u +…

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Q: Use the fact that ∣cA∣ = cn∣A∣ to evaluate the determinant of the n × n matrix.

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Q: 3. The determinant of an upper triangular n x n matrix or a lower triangular n x n matrix equals the…

A: an upper triangular matrix is those having non-zero elements from the diagonal and above and the…

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: 12.) Find the determinant of A= -2 3 1 57 -1 2 0 4 1 0 TN -2 1 3 -3 4 Show your work.

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Q: Compute determinant of 9 -2 -6 -8 3 6 10 -2 -6

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Q: Find u-v, 2(u+3v), and (2v-u). u=(7,0,-6,9), v=(0,2,9,7)

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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: Using determinants, find area of each: A. (1,4) (10,2) (8,12) B. (1,-9)(6,-3)(-3,1)(-5,-6) C.…

A: The given problem is related with area of quadrilateral. We have to find the area of the following…

Q: Suppose that X represents the number of years a person goes to school, and Y represents the income…

A: In simple sentence, Correlation is nothing but a linear relationship between two variables. In…

Q: B- Find the determinate ^ = 1 B 1 Lo 2 3 -2 C -2

A: For the 2*2 matrix we can find determinants by multiplying the diagonal numbers and find the…

Q: Use the determinant of a matrix to find the area of the triangle whose vertices are (0, 2), (4,-4),…

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Q: 1 -1 0 -2 4 -1 -2 1 valuate the determinant 3 6 -3 -3 6 2 -6 -5 O O O 2) ㅇ00

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Q: 1 2 3 4 4321 (b) 21 4 3 (c) -2 3 41 2 -3 -2 10-2

A: Determinant is 4

Q: A as the product of two determinants, show that A = 0. Hence, show that if ax² + 2hxy + by² + 2gx +…

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Q: Find the area of a triangle with given vertices using determinants: A(0,0), B(3,1) and C(1,5) 8 5 7…

A: This question is based on finding area of triangle using determinant.

Q: -5 The value of the determinant 4 -3 -13 is 8 15 O -454 -453 -455 -456 449

A: The given determinant is 69-54-3-138155.

Q: 3 4 1 4. 12 24

A: Solution

Q: Use the properties of determinants, to determine which of the following equalities is true ¥4 2 -2…

A: To determine which of the following equalities are true By Using properties of determinants, 1 )…

Q: 66 If a,, b, EN for i = 1,2, 3, then c e determinant; 1+x) a₁b₁ 1+ x) 0₂b₁ (1+x) a₁b₂ (1+x) 0₂b₂…

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