Question: Find all 2 X 2 matrices A E MQUR) that satisfy the following crazy property: exp(tA] = I + tA, W E R (5) Give

 Find all 2 X 2 matrices A E MQUR) that satisfythe following \"crazy\" property: exp(tA] = I + tA, W E R

(5) Give a detailed argument nding all such matrices that also establishesthat you found all of them. (Hint: Can such a matrix have

Find all 2 X 2 matrices A E MQUR) that satisfy the following \"crazy\" property: exp(tA] = I + tA, W E R (5) Give a detailed argument nding all such matrices that also establishes that you found all of them. (Hint: Can such a matrix have eigenvalues A1 3E A2? What about if A1 = A2 = A?) Let AcMg (IR) be a 9x2 matrix with eigenvalues a) If 2. 7 29 , then Agt Art exp (tA ) = - age It edit _ past A 6) If A . = 2 2 = 1 , then exp (tA ) = eat ( 1 - at)Itte at P

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!