Consider the vector-valued functions æ1(t) = 9t – 8 4e3t and æ2(t) 7t2 + 8t, 4e3t 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). P12( P21 (t) p22(t), differential equations æ' P(t)æ. c. Find a matrix P(t) (Pii) Piz) so that æ1 and æ2 are fundamental solutions to the system homogeneous 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.