Concept explainers
fill in the blanks.
The
Trending nowThis is a popular solution!
Chapter 8 Solutions
A First Course in Differential Equations with Modeling Applications (MindTap Course List)
- a b Let A = and let k be a scalar. Find a formula that relates det(kA) to k and det(A). c d Find det(A). det(A) = (Simplify your answer.) Find det(kA). det(kA) = | (Simplify your answer.) Use the preceding steps to find a formula for det(kA). Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer.) A. det(kA) = • det(A) + B. det(kA) = + det(A) Oc. det(kA) = |- det(A) O D. det(kA) = • det(A)arrow_forwardConsider (D3 -D) y=0. What are the roots of the auxiliary equation, and what is y? A m = 1, 1, 1; y = C, e* + C,x e* + C,x² e* т %3D 0, +1; у%3D С, + С, е* + Ce C, e* 2 m = - 1, 1, 1; y = C, e¯* + C, e* + C,x e* m = 0, ±i; y = C, + C, cos x + C, sin xarrow_forwardSolve for x and y. 3x + 4y + (2x–5y + 5)j = 3 + 2jarrow_forward
- 15 Advanced Math 5. Calculate T.(₁). Te(₂). Te (73) in general. i.e. without assigning any value to the parameter t (so your answers should still contain {). Write your answer for each T, as one single vector, as it will help you in Question 6. By this, I mean if A = an a12] and 6- B then write 77 - A7 +5 as 7 (ED) - E [aux + a12y + b₁] [021 + a22y + b₂] (you can show 021 022] intermediate steps. of course!).arrow_forwardAs fast as possible please.arrow_forward[1 4 2 For any vector b, find the complete solution Ax=b. 0 3 -2 1 7 Let A =arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage