Let JA| = 4 and |B| = -3 where A and B are 3 x 3 matrices. Use the properties of the determinants to compute: а. АB b. 15A|| c. 13B"| d. 14A-1| e. |A³|

Q: Find the determinant 12 3 4| A = 5 4 17 0 %3D 11 If the determinant is 56, find x

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Q: Use the method of elimination to evaluate the determinants

A: Question number 16 has been solved as per the request of the student.     This question can be…

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: Find the value of the determinant D given by: a 3. D =c d -4 %3D 6. 9. where a = 3, b = 5, c = 9, d…

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Q: Use the fact that |cA| = c|A| to evaluate the determinant of the n x n matrix. 24 12 36 A = 20 32 16…

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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: Use the cofactor expansion to compute the following determinant: 5 6 5 det -3 9 7 %3D 6 9-8

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Q: If A is a 2 × 2 matrix with |A| = 3, use the properties of determinants to compute the following…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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

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Q: E = F = [2 13 101 1 0210 0 1 2 3 1 -2 0 0 315 3 -7 0 -4 2 010 021 1 001

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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: Use elementary row or column operations to find the determinant.

A: We have given the matrix; For the elementary row and column method, we make non-zero entries as…

Q: a) By using the property of the determinants prove that 1 + a? - b2 2ab -2b 1- a? + b? = (1 + a? +…

A: By using the properity of determinats prove that :

Q: Evaluate the determinants to verify the equation.

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Q: Find the determinant of the matrix, a b C 2d +a 2e+b 2f +c: ! where a f = 7. A) 35 B) 14 c) 7 D) 21

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Q: Evaluate the determinants to verify the equation.

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Q: Use the determinant version of the cross product to compute u X v.

A: Solution: Consider the two vectors a = a1i + a2j + a3k and b = b1i + b2j + b3k and their cross…

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

A: Given

Q: Find the determinant of the matrix, |5g where 7. A) 35 B) 14 21 7

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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: Q1. Find the value of determinant by using appropriate row and column operations. 3 1 3 -1 -1 1. -1…

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Q: a) A and B are 3x3 matrices with |2B| = 2 and [A| = -5. By using properties of %3D determinant or…

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Q: Find the determinant of the matrix, a b. C 2d +a 2e+b 2f+c h i where a e = 7. h 21 14 7 35

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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: Use the fact that |cA| = c"|A| to evaluate the determinant of the n x n matrix. 6 27 24 A = 21 3 9…

A: We are given the matrix A=627242139151812. We know that cA=cnA. Here,          A=627242139151812…

Q: Find the value of the determinant using lhe Following mettiods: W Laphace Expan sion 4 %3D 3. 6 2 2.…

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Q: Let A be 4x2 and B be 2x4 matrix. Then the determinant of the matrix AB must be zero. False O True

A: consider matrix 4×2 matrix A=11102213 consider 2×4 matrix B=10222354 now the matrix AB is given as…

Q: Find the determinant using Gaussian Elimination Methoc 5w + 6x - 5y + 11z = 7 10w + 36x + 10y – 17z…

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Q: Let A be a 5 x 5 matrix and JA| = 3. The determinant of 2A is equal to (A) 96 (в) 48 c) 32 (D 6

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Q: For an n × n matrix A, explain how to find each value. (a) The minor Mij of the entry aij (b) The…

A: (a) To determine: The minor Mij of the entry ai j of the n x n matrix A.

Q: Express the determinant in the form ai + bj + ck for real numbers a, b, and c.

A: The given determinant is  ijk1-2321-4.

Q: Express the determinant in the form ai + bj + ck for real numbers a, b, and c.

A: Given determinant: ijk4-62-23-1

Q: Evaluate the determinants D,Dx,Dy, and Dz.

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Q: Explain why the determinant of the matrix B a + kc b+ kd d is equal C a to the determinant of the…

A: Given matrices are:       A =  abcd and        B =  a+kcb+kdcd.

Q: Express the determinant in the form ai + bj + ck for real numbers a, b, and c.

A: To express the determinant in the form of ai+bj+ck for real numbers a,b,c. ijk5-6-1301 Solution:…

Q: Find the determinant of matrix a i. 2 2 2 by using the properties of determinant. b+c a+c a+b

A: Let's find.

Q: B = D = NUE OF 5 9- 7 - - - - Noo 5 نیا --- - 6 -

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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: 8. Let A and B two 5 x 5 matrices of determinant 3 and 2. Compute: (a) |AB| (b) |2A| (c) |B-1| (d)…

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Q: Let B={V₁ =,2 =, V3 =}. Use determinant to determine whether B is linearly independent or linearly…

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Q: Given that the vector å = a,î + a2j + azk and b = b,î + b2j + b3k. Show that the vector product of å…

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

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Q: 2. Use row/column operations and properties of determinants to show that (Do not expand using…

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Q: By eliminating the arbitrary constants of y = Cx² + C2x³ using determinants, then which of the…

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Q: Use the fact that |cA| = c^|A| to evaluate the determinant of the n × n matrix. 12 3 27 A = 15 9 18…

A: To evaluate the determinant of the matrix A, by using the fact cA=cnA.A=123271591824621

Q: Express the determinant in the form ai + bj + ck for real numbers a, b, and c.

A: To: Express the determinant in the form ai + bj + ck for real numbers a, b, and c. ijk2-16-351

Q: F = ٢٥٥ -1000 TOO لیا 0 5 32

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Q: Evaluate the determinants to verify the equation.

A: Given: wxyz=wx+cwyz+cy

Q: 2. For the set of equations 2x, + 5x, = 1 2x, + x, + x, = 1 3x, + x, = 2 (a) Compute the…

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