Find 2 x 2 invertible matrices A and B such that (A+B) # A+B, I3 +...

   

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Find 2 x 2 invertible matrices A and B such that (A+B) # A¹+B¹, I3 + 3x₁ = = 1. Solve the system 31-32 + 10x3 + 3x4 1-₂ +33 + 24 = 2. Let A and B be square matrices. Is it true that if AB = 0, then BA=0? 3. Let A1, A2, A3 be the columns of a 3 x 3 matrix A such that A₁ + A2-743 = 0. Is it true that A is singular? 4. Find a 2 x 2 matrix A different from I and from -I but such that A² = I. -1 5. Find 2 x 2 invertible matrices A and B such that (A + B)¹ # A¹+B-¹. 6. Let A = [2 1 3] 4 27 3 5 1 E, F such that B = [427] 2 1 3 1 3 5 1 C = [21 3 6 8 17 Find elementary matrices 13 5 B = EA and C= FA. Find 2 x 2 invertible matrices A and B such that (A+B) # A¹+B¹, I3 + 3x₁ = = 1. Solve the system 31-32 + 10x3 + 3x4 1-₂ +33 + 24 = 2. Let A and B be square matrices. Is it true that if AB = 0, then BA=0? 3. Let A1, A2, A3 be the columns of a 3 x 3 matrix A such that A₁ + A2-743 = 0. Is it true that A is singular? 4. Find a 2 x 2 matrix A different from I and from -I but such that A² = I. -1 5. Find 2 x 2 invertible matrices A and B such that (A + B)¹ # A¹+B-¹. 6. Let A = [2 1 3] 4 27 3 5 1 E, F such that B = [427] 2 1 3 1 3 5 1 C = [21 3 6 8 17 Find elementary matrices 13 5 B = EA and C= FA.