Math 191 Sample Midterm 2A
Math 191 Sample Midterm 2A Spring 2023 Your Name: 1a. (5 points) Suppose A is an n × n matrix with complex entries and A∗ = A. Suppose V is a subspaceofCn suchthatAV ⊂V,i.e.,x∈V ⇒ Ax∈V. ShowthatA(V⊥)⊂V⊥. 1b. (5 points) Suppose A is a real, symmetric, n × n matrix. Show that eA is positive […]
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