–2t + 8Y Consider the vector-valued functions æ1(t) = (2, F (2e²t and æ2(t) = + 5t (2e" a. Compute the Wronskian of these two vectors. Wx(t) = b. On which intervals are the vectors linearly independent? If there is more than one interval, enter a comma-separated list of intervals. The vectors are linearly independent on the interval(s): help (intervals). (P11(t) \P21(t) P22(t)/ c. Find a matrix P(t) = so that æ, and æ, are fundamental solutions to the system homogeneous differential equations æ' = P(t)æ. P11(t) = P12(t) = P21 (t) = P22(t) =

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.