Using the Gauss Method, or what we refer to as the Elementary Row Operation, get the determinant of the following. sinx COSX 1 — sinx 2sinх 2 COSX 3cosx -1

Q: Q4. If the shaded area in the figure shown is 9 square units, find the value of a using determinant,…

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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: Calculate the Dy determinant for 2X2 equation. -8x + 3y = -5 7x - 2y = 3

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Q: What does interchanging any two rows (or columns) do to the value of the determinant?

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Q: Use elementary row operations to simplify and then perform a cofactor expansion to evaluate the…

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Q: A = 5 -2 -5 1 a b C d - 2 1 -3 1 1 -2 9 4

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Q: Calculate the determinant. jk 1 -1 9 4 0 71 기 -7i-34j+3k x

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Q: 1 -2 3 4 [7 9.

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Q: Verify the identity by expanding each determinant.

A: abcd+abef=abc+ed+f

Q: sin x cos x 1 - sin x 2 sin x 2 cos x Зcos x -1

A: Here given D=sinxcosx1-sin x2sinx2cosx3cosx-1

Q: Illustrate the multiplying any row (or column) by a scalar do to the determinant?

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Q: Find the determinant of the matrix. Expand by cofactors using the indicated row or column. 2 5 6 -3…

A: Since you have asked multiple questions in a single request we would be answering only the first…

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

A: Given: The given matrix is -21211116100101325-7. To find: We have to evaluate the determinant of the…

Q: Find the determinant of the vector A = 2i+ 5j + 6k and B = 8k

A: determinant is nothing but finding the cross product. so, determinant of two vectors A and B = A×B

Q: hw bds 1 2 -4 3 2 1 3 -2 -1 -5 1 2 -1 4

A: Given: The matrix is 21-3112-223-43-1-2-1-54. To find: Determinant of the given matrix using the…

Q: Find the value of x, from the following determinant: 1 -3 = 3x2 – 8x – 31 -2 1 -1

A: According to the given information, it is required to find the value of x.

Q: Get the Determinant using PIVOTAL ELEMENT METHOD. Use -3 & 4 as Pivor ELEMENT. A= 3 2 -4 -5 -2 1 0 3…

A: Given: A=3-24221-35-40-1-2-5324 To find: Determinant of the given matrix using Pivot Element…

Q: |y²Z² YZ Y+ZI z²x² ZX Z + x = 0 x²y2 XY X+YI

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Q: Show that the determinant of the matrix is equal to the determinant of its transpose by expanding…

A: Here, we have to find |A| and |A^t| by expanding third row and third column respectively.

Q: 14. B-11-2² 0 4

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Q: State the row operation performed below and describe how it affects the determinant. a b [88][ c d 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: -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: 2X +3Y+5Z 6X -2Y -3Z 8X-5Y-6Z X+Y+2Z 2X+ Y + Z X + 2Y + Z 6X-4Y+5Z 3X + 2Y 5X + 4Z = 0 = 3 = 1 m H…

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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: 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…