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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: Use the appropriate property of determinants to find a. Do not evaluate the determinants. =14 23 2…

A: Given,  -14232-43-31-17-2-210=a14-23-243311722-10      ......1 Using following property of…

Q: Use expansion by cofactors to find the determinant of the matrix.

A: Given matrix:

Q: Use the appropriate property of determinants to find a. Do not evaluate the determinants. -13 23 -9…

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Q: Use elementary row or column operations to find the determinant. -2 S49 115

A: In this question we can find the determinant by using row operation . Apply row operation in second…

Q: Use a determinant to decide whether the matrix is singular or nonsingular. -7 6. 21 18 O singular O…

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Q: Use expansion by cofactors to find the determinant of the matrix. y 18-21 15 30 -18 24-32 10 -32 35…

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Q: Find the determinant and the inverse using the adj(A) of a given matrix [2 3 A =| 1 -2 -1 Show your…

A: GIVEN

Q: 4. y= cje²*+c2xe²*

A: Please see the below picture for detailed solution.

Q: Use Laplace expan sion to solve for the determinant 야F the pollowing matri ce s : 4 a. -- -2 b. -2 2…

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Q: N repteseated by Determin, the lorus 1z -3 -|2+31 =4' %3D

A: Given that : b) argz+1z=π4That can be written as,argz+1-arg(z) =π4Let substitute z =…

Q: 11 а а? A = |1 b b² c2 %3 (b — а)(с — а)(с - b) |1

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Q: Evaluate the determinant.

A: Given: 4  85  6 To Evaluate: The determinant.

Q: Use expansion by cofactors to find the determinant of the matrix. y 18 -15 30 21 -18 10 -32 24 -35…

A: Here we have to find the determinant of the given matrix.

Q: Evaluate the ff. Given: A 1 -1 1 -1 2 3 2 0 y 1 1 -2 4 3 4 1 1 1 -1 find: a. Transpose of matrix A…

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Q: 1 Зі -5 A = | ₁/ i

A: Given matrix is A = 13ii-5

Q: The determinant of the matrix 4 A = 0, 4 8 0 -9 is Hint: Find a good row or column and expand by…

A: Given:          A=0-4-900-9-2-30006000475-9-6-5980-9 Solve:        det…

Q: Use either elementary row or column operations, or cofactor expansion, to find the determinant by…

A: We shall find determinant using elementary row operation.

Q: Use determinants to determine whether the following 2 × 2 matrices are nonsingular

A: A matrix is said to be nonsingular if it's determinant has non zero value.

Q: Using properties of determinant, show that За + b |4a + 3b За 15а + 6b 2а а 3a = a3 ба 4а

A: We have to show that : 3a+b2aa4a+3b3a3a5a+6b4a6a=a3 Taking the Left hand side we have:…

Q: Find the cofactor of -3 in the determinant 1 44 -359 2 12

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Q: За Зе 3f b c l, and B = a Let a, b, c, d, e, f be real numbers, A = |d e f a C [1 ld +2 f + 2] e If…

A: Given: A=abcdef101B=3d3e3fabcd+2ef+2

Q: Use Cramer’s Rule to solve for x only. can you show the setup of any determinants used please? 4?…

A: Given, 4x+y+3x=12x-2y+6z=11-6x+3y+12z=-4

Q: Use Cramer's Rule to solve for x only. You may use a calculator, but you must show the setup of any…

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Q: Use expansion by cofactors to find the determinant of the matrix. 24 -30 18 27 -24 18 -32 10 -32 40…

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Q: Evaluate the determinant by expanding about any row or column. 11 3 2 2 6 6 6 1 The determinant is…

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Q: 2 Find the determinant of -3 1 -3 51 6 2 -2 51

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Q: Use expansion by cofactors to find the determinant of the matrix. x y 24 -21 18 27 -10 32 -24 18 -40…

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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: Use elementary row or column operations to find the determinant. 1 12 -9 10 2 21 32 -29 19 2 31 48…

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Q: Use a determinant to decide whether the matrix is singular or nonsingular.

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Q: Use elementary row or column operations to find the determinant. 3 3 -8 7. 2 -5 5. 68S3

A: We have to find determinate by row or column operation.

Q: For each matrix, determine det(A). Prove your answer by showing your calculation and stating clearly…

A: For (a), A=det8164043-27  =8·det04-27-1·det4437+6·det403-2  =8· 8-1· 16+6-8  =0

Q: Evaluate the determinant of the matrix and state whether the matrix is invertible. 5 -1 B = 7 -8 4…

A: The given matrix is B = 95-17-84-40-3To find determinant of matrix

Q: By using the properties of determinant prove that a? |b² + c² b² a? c2 + a? b2 4a?b?c? c2 c2 a² + b²

A: By using the determinant property that is:…

Q: = x u2-) = (2) %3D If x 1. -1 = 10, then x = If the determinant 4. %3D |

A: Determinant of 2×2 matrix abcdcan be determined by ad-bc=0. Consider, 4-2x1=10 Solving the…

Q: Use expansion by cofactors to find the determinant of the matrix. y 24 -15 27 18 -24 10 -32 18 -22…

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Q: Find the determinant of the matrix.

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Q: Use the following definition. a11 a12 a11 a12 If A = then |A| = a11a22 - a12a21. %3D [ a21 a22 a21…

A: 122334-13=12-13-3423=-16-612

Q: Find the determinant of

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Q: 01 Find the values of x, 7 x+1 4 for Lo 5 which the determinant is zero. a. x = 0, 4 and-5 b. x = 0,…

A: The given matrix,x007x+1405x

Q: Find the values of k that make the following determinant zero. 3- k| 6-k 4 7

A: We have to find the values of k that make the determinant  43-k6-k7 = 0.

Q: Find the determinant of the matrix. O-31 -4 67 7

A: det-46127Use deta  b c  d  = ad-bc=-4· 7-6·12=-31

Q: Use the cofactor expansion to evaluate the following determinant. 3 -3 5 41 2 1 1 -2 0 0 4 3 ol ܚ ܠ…

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Q: C/: 400 110 210 00

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Q: Find the determinant of the matrix. [. 2 4 -7 5

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Q: Find the the determinant matrix: [-10

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Q: 1 3 Let A = . What is the determinant of A? |2 5.

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