Use the appropriate property of determinants to find a. Do not evaluate the determinants. |0 3 -2 0 9 -6 1 11 = a · 1 0 11 2 4 8 0 Answer: a = 1

Q: Evaluate the determinant.

A: The problem is to find the determinant of the given matrix.

Q: Evaluate the following 3 x 3 determinant. Use the properties of determinants to your advantage. 2 1…

A: Step:-1 Given determinant is 321131-325 Explanation:-  321131-325 =3 3125 - 211-35 +113-32321131-325…

Q: Use the determinant of A to determine whether A has an inverse. 3 4 11 2 5 10

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Q: Evaluate the determinant, using row or column operations whenever poss -3 5 12 7 -8 2 -1 14 4 4 9…

A: A detailed solution is given below.

Q: Use properties of determinants to find the value of each determinant if it is known that

A: x yzu vw1 23 = 4   x   y  z-3-6-9   u   v  w = ?

Q: Find the values of À for which the determinant is zero. (Enter your answers as a comma-separated…

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Q: Find the values of 2 for which the determinant is zero. (Enter your answers as a comma-separated…

A: Our Aim is to find the value of λ for which the determinant is zero.λ300λ+1102λ=0

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: Find the value of the determinant D given by: 1. 1 1 D = b a a b c2 where a = 7, b = 16 and C = -6…

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Q: Using the theorem on determinants, show that a a? b b2 1 |1 A = 1 (b – a)(c – a)(c – b) - C

A: We have to show that A=1aa21bb21cc2=(b-a)(c-a)(c-b) by using the theorem on determinants .

Q: Use properties of determinants to find the value of each determinant if it is known that

A: Given Determinant             x+3y+6z+93u-13v-23w-3123 Decompose given determinant into two…

Q: Use properties of determinants to find the value of each determinant if it is known that

A: Given: Use properties of determinants to find the value of each determinant if it is known that…

Q: Verify the identity by expanding each determinant.

A: abcd+abef=abc+ed+f

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

A:

Q: Using the theorem on determinants, show that 1 a a2 A = 1 b b2 = (b – a)(c – a)(c - b) 11 - с с2

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Q: 2а 2b b - c 2b 2а а+c| %3D-2(а — b)?(а + b) а +b a+ b а

A: This is a determinant problem

Q: Use properties of determinants to find the value of each determinant if it is known that

A: The property of the determinant is given by: If any two rows or columns of a determinant are…

Q: Find the values of 1 for which the determinant is zero. (Enter your answers as a comma-separated…

A:

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: Find the Determinant 10 501 3) 5 25 Determinant %3D

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Q: Find the Determinant 16 1) L3 7. det * - ad - bc %3D 8. ad - bc Determinant =

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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: Let a, b e R. (a) Find the determinant of -2 1 -2 - 2.

A: (a) Given that, a2b-2124-2-1

Q: Evaluate the determinants to verify the equation.

A:

Q: Find the determinants in Exercises, where d f= 7. 3h 3g 3i

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Q: c. Given that the vector à = a,î + azĵ + azk and b = b,î + b2ĵ + bzk. Show that the vector product…

A: Given:     a→=a1i+a2j+a3k     b→=b1i+b2j+b3k  The vector product of two vectors  a→=a1i+a2j+a3k and…

Q: Use the determinant formula for the area of a triangle to find the area of the triangle in the…

A: Here, x1y1, x2y2, x3y3 are 31, -13, -2-2

Q: Use properties of determinants to find the value of each determinant if it is known that

A: We have to find the value of determinant by using properties of determinant: xyzuvw246 Where it is…

Q: Evaluate the determinant, using row or column operations whenever possible to simplify your work.

A: 1234502468003690004800005

Q: a) Given a bc def=7. ghi Based on this fact, figure out the values of the following determinants def…

A:

Q: If B = then the determinant of B~1 is_ - (use property) a. 2 d. b. 10 с. 0.5

A: A matrix is a quantity with rows and columns. An entry in a matrix is determined by its row number…

Q: Use the arrow technique to evaluate the determinant. 4 0. det 5 -1 4. i 1 9 -5 II

A: Evaluating the determinant

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: Find the determinants in Exercises, where d + 3g f + 3i e + 3h

A: Here,

Q: 4. Fill in the blanks with appropriate numbers to calculate the determinant. Where there is "+",…

A: Given: (a) 21-34= (b) 1023210-34=

Q: Using the properties of determinants, prove that : 1 1 1 = (a – b)(b - c)(c - a)(a + b + c) a' b' c'

A: The solution to the given question is explained below.

Q: Use the arrow technique to evaluate the determinant. 4 0 det 3 -1 2 i 1 4 -4 ||

A:

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: Find the area of the parallelogram. P1(0, 0, 0) P2(3, -4, 1) P3(-1, 2, -1) O 63 V26 C O 23 Find the…

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Q: Use the arrow technique to evaluate the determinant. 3 0 det 3 -1 [ 1 6. -3 i

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Q: Use the determinant theorems to find the value of the determinant. -4 5 - 1 8 - 1 4 - 7 9 8 3 1 1…

A:

Q: Use elementary row or column operations to find the determinant. 1 -5 5 -10 -3 2 -22 13 -27 -7 2 -30…

A: Explanation of the answer is as follows

Q: a +d b+e c+, Find the determinants in Exercises, where d

A:

Q: Calculate:  a) AB b) A’D’B’ c) Find the determinant of D. Show all work

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Q: Fill in the blanks with appropriate numbers to calculate the determinant. Where there is "t", choose…

A: a) Given determinant: 21-34 Expand the determinant 21-34=2×4--3×121-34=8+321-34=11

Q: Let - (3) and Compute the area of the parallelogram determined by ū, i, ủ + 0, 0, and compute the…

A: We have to find the area of parallelogram.

Q: Transform the determinant into a triangular determinant and get its determinant. 8. 6. |A| = -3 7 -4…

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Q: If A= () B= () c= () 36 53 Then the determinant of C =

A: Solved below

Q: Evaluate the determinants to determine whether the equation is true or false. w X z y y z Evaluate…

A: We need to determine whether the equation is true or false |wxyz|=-|zyxz|