Pls help solve this This exercise illustrates the failure of Lie's Theorem when k is allowed to have primecharacteristic p. Consider the p x p matrices:1..11x =y =1р— 11.....Check that [r, y]gl(p, k). Verify that x, y have no common eigenvectors.= x and hence that x and y span a two dimensional subalgebra of

Name: Pls help solve this This exercise illustrates the failure of Lie's The
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Pls help solve this This exercise illustrates the failure of Lie's Theorem when k is allowed to have primecharacteristic p. Consider the p x p matrices:1..11x =y =1р— 11.....Check that [r, y]gl(p, k). Verify that x, y have no common eigenvectors.= x