Let P-L 1 2e3t+8e- = t 15 +], x2(t) = [3e³t + 20e-t -8e³t + 2e-t -12e³t +5e-t P by evaluating derivatives and the matrix product 1(t) = = Show that 1(t) is a solution to the system ' = #³½ (t) = [ 15 9 1(t) Enter your answers in terms of the variable t. [8]·[8] help (formulas) help (matrices) Show that 2(t) is a solution to the system ' = P by evaluating derivatives and the matrix product Enter your answers in terms of the variable t. [8]-[8] help (formulas) help (matrices) Book: Section 3.3 of Notes on Diffy Qs 9 코일(t)= [15-3]교2(t)

Solve the homogeneous linear system corresponding to the coefficient matrix. [121200242412]

Solve for x,y,z and w in the matrix equation wxyx=-432-1+2ywzx.

Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.

Determine if the statement is true or false. If the statement is false, then correct it and make it true. For the product of two matrices to be defined, the number of rows of the first matrix must equal the number of columns of the second matrix.

Express the quadratic equation 2x2 + 4xy + 7x – 2y + 8 = 0, in the matrix form x" Ax + Kx +f = 0, where xT Ax is the associated quadratic form and K is an appropriate matrix. 2 2 A = 2 0 K = ( 7 0) f =-2y + 8

what is the x on this matrix; Ax(D+Bx)^-1 = C

Suppose the above equation is expressed as Ax=b with x=(x1 x2 x3)express the cofficicents of the equations in one matrix form as (A|b)

Answer only part c

Express x₁ = 4x₁-x₂ + 3x3 - 5x4 X₂ = 5x₁ + x4 x3 = -√ex₁-7x3 X4 = 0 Write the system of equations using matrix notation. Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) OA. O B. the system of differential equations in matrix notation. O C. extbook X₁' X₂ X3 X4' X₁' X₁ x₂ x2 X3 X3 X4 C X₁ X2 X3 ХА x3 x3 X4 X4 x₁ X₁ X₂' Ask my instructor