Question

Determine which of the following matrices are invertible. Try to perform as few computations as possible. A = [1 2; 2 1] B = [1 1; 2 2] C = [1 2 0; 0 1 1] D = [1 2 0; 0 1 0; 0 1 0] E = [1 2 3; 2 3 5; 1 2 3] F = [1 2 3; 0 2 3; 0 0 3] G = [0 0 0 0; 1 2 3 4; 4 3 2 1; 1 0 0 0] H = [1 1 2; 3 1 2; 3 1 2] I = [1 0 0; 0 1 0; 0 0 1] J = [0 0 1; 0 1 0; 1 0 0] K = [1 2 3; 4 5 6; 7 8 9] L = [1 1 1; 1 1 1; 1 1 1] Select all matrices which are invertible:

          Determine which of the following matrices are invertible. Try to perform as few computations as possible.

A = [1 2; 2 1] B = [1 1; 2 2] C = [1 2 0; 0 1 1] D = [1 2 0; 0 1 0; 0 1 0]
E = [1 2 3; 2 3 5; 1 2 3] F = [1 2 3; 0 2 3; 0 0 3] G = [0 0 0 0; 1 2 3 4; 4 3 2 1; 1 0 0 0] H = [1 1 2; 3 1 2; 3 1 2]
I = [1 0 0; 0 1 0; 0 0 1] J = [0 0 1; 0 1 0; 1 0 0] K = [1 2 3; 4 5 6; 7 8 9] L = [1 1 1; 1 1 1; 1 1 1]
Select all matrices which are invertible:

Determine which of the following matrices are invertible. Try to perform as few computations as possible.

A = [1 2; 2 1] B = [1 1; 2 2] C = [1 2 0; 0 1 1] D = [1 2 0; 0 1 0; 0 1 0]
E = [1 2 3; 2 3 5; 1 2 3] F = [1 2 3; 0 2 3; 0 0 3] G = [0 0 0 0; 1 2 3 4; 4 3 2 1; 1 0 0 0] H = [1 1 2; 3 1 2; 3 1 2]
I = [1 0 0; 0 1 0; 0 0 1] J = [0 0 1; 0 1 0; 1 0 0] K = [1 2 3; 4 5 6; 7 8 9] L = [1 1 1; 1 1 1; 1 1 1]
Select all matrices which are invertible:

Added by Peter W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

03/31/2023

Step 1

So, let's compute the determinants of these matrices: det(A) = (1)(4) - (2)(3) = 4 - 6 = -2 det(B) = (2)(2) - (3)(1) = 4 - 3 = 1 det(C) = (8)(3) - (1)(2) = 24 - 2 = 22 Show more…

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