sina cosa sin(a + 8)Without expanding, evaluate the determinant sin B cos B sin(ß+ 8)sin(y +8)|siny cosy

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Answered: sina cos α sin (α + δ)| . Without…

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter4: Systems Of Linear Equations

Section: Chapter Questions

Problem 415PT: Solve using Cramer’s rule. 415. Evaluate the determinant by expanding by minors: |322214103|

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Solve using Cramer’s rule. 415. Evaluate the determinant by expanding by minors: |322214103|
True or False ? a The determinant of a 22 matrix A is a21a12a11a22. b The determinant of a matrix of order 1 is the entry of the matrix. c The ij-cofactor of a square matrix A is the matrix obtained by deleting the ith row and jth column of A
Guided Proof Prove Property 2 of Theorem 3.3: When B is obtained from A by adding a multiple of a row of A to another row of A, detB = detA. Getting Started: To prove that the determinant of B is equal to the determinant of A, you need to show that their respective cofactor expansions are equal. i Begin by letting B be the matrix obtained by adding c times the jth row of A to the ith row of A. ii Find the determinant of B by expanding in this ith row. iii Distribute and then group the terms containing a coefficient of c and those not containing a coefficient of c. iv Show that the sum of the terms not containing a coefficient of c is the determinant of A, and the sum of the terms containing a coefficient of c is equal to 0.
Find the Jacobian determinant to the test the existence of functional dependence between these three functions- Y1 = 11X1 + 7X2 + 5X3 Y2 = 6X1 + 9X2 + 10X3 Y3 = 11X1 + 11X2 + 15X3 What is the value of the Jacobian determinant ?
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Find general solutions to the linear system. Use the method of polynomial differential operators, finding the determinant and roots, and then substituting in the original first equation to eliminate extra coefficients. x′=−x+3y,y′=2y
Differential equations UNIT : HIGH-ORDER LINEAR DIFFERENTIAL EQUATIONS. VRONSKIAN. A FUNDAMENTAL SOLUTION. FUNDAMENTAL THEOREMS. For the given functions y1 and y2, determine the following: 1) Find the Vronsky determinant. 2) Are the given solutions a system of fundamental solutions? 3) Find the form of the homogeneous linear second-order differential equation corresponding to these solutions. 4) Write the general solution of the found differential equation
Considering the scalar functions ∅ = ∅ (x, y, z) and ψ = ψ (x, y, z), find the following expression? ∇. (∇ ∅ × ∇ ψ) =?
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sina cos α sin (α + δ)| . Without expanding, evaluate the determinant sin ß cos B sin(B + 8) sin(y +8)| siny cosy