1 -r r² -r 4 8 Let p(z) be the polynomial in z defined as the determinant p(x) = 1 -1 1 -1 -3 9 -27 (a) What is the coefficient of r³ in p(x)? (b) Find three values of r for which p(x) = 0 by inspection. (c) Find an expression for p(r) using the above results.

Q: 1 3 - 1 E) Using properties of determinants, show that 2 3 8 - 3 = 0 21

A: To Prove:      13-128-3321-9=0

Q: 2.-Determinar: E = (A – B) n (B – C) Si: A - {x/x € N / "x" es divisor de 12} B - {x/x € N/ "x" es…

A: We have to determine  E=A−B∩B−C Where, A=x|x∈N such that x is divisor of 12 B=x|x∈N such that x is…

Q: Evaluate the determinant by general definition k 1 1 1 1 k 11 k 1

A: Here qe have to solve the determinant

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

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Q: Find JA-1. Begin by finding A-1, and then evaluate its determinant. Verify your result by finding…

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Q: Consider the below third order determinant: 3 6 2 1 9 3 2 5 2

A: Determinate of the 3*3 Matrix

Q: X-z Which of the following is the result of the determinant w w (a) (x+y+w- z)(x - z-y)(x-z-w) (b)…

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Q: 2d 2e 2/ Let a, b, c,d, e, f be real numbers, A = d 1 and B = ld- 3 If determinant of A is equal to…

A: We can solve this as follows:

Q: Evaluate the determinan y y z2 %3D Evaluate the determinan 1 y y z2 (y- x)(z - x)(z – y) = Is the…

A:

Q: [1 х х] Let A = x 1 x. Find all values of x such that det(A) = 0. (HINT: First use row echelon Lx x…

A: See the detailed solution below.

Q: Find the determinant of the given below. Use any method. x-y y-z Z-X y-z Z-X x-y Z-X x-y y-z

A:

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

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Q: 1-X 3 2 - X 3 - Consider the matrix 1 where A is a real number. (i) Find the determinant 2() of the…

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Q: Linear algebra. please answer part (a)

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Q: 1 3 -1 |2) Using properties of determinants, show that 2 3 8. - 3 = 0 21

A:

Q: b -3g 2d [a -3h -3i Let A = |d e f and B = Lg h 2f a- 2d b - 2е с - 2f| 2e If determinant of A is…

A:

Q: Evaluate the determinant: 0 a1 a2 02 an . . 0 ... . -Y2 X2 0 0 0... In

A: Given: The below matrix is given: To find: The determinant of the given matrix.

Q: 2. Let -5] 0. -1 %3D -2 9. 0. 12 Then -51 [2 [2 . 9. -2 -1 -1 9. -2 -1 -1 9. 0. R1 R4 R4 =D3= 2 → R4…

A: Given: 4x4 matrix is given.

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

A:

Q: [a b 3g 3h 3i Let A = |d S] and B = il 2d 2e 2f - 2f If determinant of A is equal to 1 then…

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Q: 1. Evaluate the required determinant using the following techniques and show your step-by-step…

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Q: |1 3 Using properties of determinants, show that 2 3 21 8 -3 =0

A: Consider the determinant, 13-128-3321-9=0

Q: Use determinants to find x, y, and z in t

A: GIven,                 x+y+2z-6=03x+2y+4z-9=02x+3y-6z-3=0

Q: [1 Let A be a real number and A = k [2 -1] Then the determinant of A is: -3 1 0 1

A: let A be a real number

Q: Q.1 (a) Evaluate the determinant without ex pansion by using minimum number of operations. 1 a a a?…

A: To use simple determinant property to solve the given problem

Q: |1 -1 Using properties of determinants, show that 2 - 3 = 0 3 21 -9 3.

A:

Q: a) Given: P = G2) i) Calculate the determinant of P. Use the determinant or otherwise to find P-1 i)…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: 1 1 0 3 To 1 -3 -6 -3 0 1 0 0 7 0 E¡A →|0 1 0 EEjA → 1 0 0 E3 E2 E1A = 4 -2 -9 1 0 0 1 0 0 1 -5 E E2…

A: NOTE: Refresh your page if you can't see any equations. . find the determinant the matrix is in…

Q: MAPPLICATION- SOolve for the determinant using the formulas mentioned in this unit. [5 -3 21 1. 4 -2…

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

Q: 1 1 -2 det(A) = det -2 = 4 det(B) = det -1 -1 =-1 0 2 0 -1 Using the properties of determinants…

A:

Q: 1. Evaluate the required determinant using the following techniques and show your step-by-step…

A: Given: Use the following strategies to evaluate the required determinant and show your step-by-step…

Q: 6i - 3i 1 If the determinant of 4 31 -1 =x+iy, then 20 3 i OA. x=3, y=1- O B. x =0,y=3 OCx=1, y=3…

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Q: с — 1 —с — 2 2с — 3 4—с -1 1- c Let A = Use a determinant to find all the values of c for - —с — 2…

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Q: Evaluate the determinant to determine whether the equation is true or false. |1 x x2 1 y y = (y -…

A: In this question we have to evaluate the determinant and the expression.

Q: 2. Let го -5 -1 6. B = [2 Then го -5 -1 6. -1 6. -1 -R4 - R4 B = R1 R4 -2 -1 -2 -1 -2 -1 1 -5. [2 Lo…

A: We have to find determinant

Q: 2. a) Given: P = i) Calculate the determinant of P. ii) Use the determinant or otherwise to findP-1.…

A: 2.(a) Given matrix is P=1−132. (i) We have to calculate the determinant of P=1−132 detP=12−3−1=2+3=5…

Q: [W -X -W | X R = y W -X y Z y y

A: Let's find.

Q: a b 3g 3h 3i 2f 2d b - 2e с — 2f| If determinant of A is equal to 1 then determinant of B is equal…

A:

Q: C. Compute the determinant by cofactor expansion. Pick the easiest row or column to use. 1 0 2 1 0 0…

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Q: (a-x)² (a-y)² (a-z)² Express (b-x)² (b-y)² (b-z)² as a product of two determinants and hence…

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Q: -1 -2 2 Rat+a A1 R1+R-R2 A2 R1+R3 A3 -R2 R2++R2-R3 A4 1 -2 A 0. -3 Die determinant van A is / The…

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Q: 1 - 6 6 Evaluate the determinant 2 2 6 1 -6 1 -6 6 2 1 - 6 Add Work

A: Solve for determinant

Q: [2 1 4 9. 0 3 3 9. 2 5 21.. Find the determinant of 0 0 2 3 0 0 0 -4 5 31 Lo 0 0 a) b) 144 c) 5 d)…

A: As per our guidelines  we can solve only one question.  Rest can be reposted.   In question no 21 we…

Q: Can Cramer's rule be used to solve this.system of equations? 21 + 2x2 1 - T1 + 3x2 = -3 Yes No If…

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Q: 1. Find the determinant of matrix A. (Try using elementary operations and properties of determi-…

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Q: Q2. Use elementary row or column operations to evaluate the determinant 1 7 -3] 1 3 a) 1 4 8 1 [4 -7…

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Q: Determinants Exercise 1. Evaluate the following determinants: 1 1 3 |1 3 2 3 0 0 3 1 1 0 0 2 2 0. 3…

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Q: Using only this definition of rank and properties of the determinants to simplify the calculations,…

A: Given A=t30-32006π0-2t-33-πtt23. This a 3×4matrix. Find the t values such that the rank of A is 3.

Q: Q.1 (a) Evaluate the determinant without ex pansion by using minimum number of operations. a a? a3 1…

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Q: 2x - 3y + 4z = 19 x+2y-2z=-6 3x + y + z = 8

A: Consider the given system of equations, 2x-3y+4z=19x+2y-2z=-63x+y+z=8 Here we need to find the value…