3. Do each of the following, given the matrix A and its inverse A -3...

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3. Do each of the following, given the matrix A and its inverse A -3 <-1 -1 +49 A = 1 0 -1 2 0 3 21-22 -3. (a) Write the following system in matrix form, then use the given information to solve the following system by the inverse matrix method. (16 points) -2 -61 +2r2+3rs <-23 2 (b) Write the uncoded row matrix for the message. Then encode the message using the matrix A. Message: RED. (5 points) (c) The following row matrix was encoded using the above matrix A. Find the original message. Encoded Row Matrix: [ -8 1 5]. (5 points) 4. Perform each of the indicated operations on the given matrices. If the operation is not possible, explain why. (no calculator) (2 points each) (a) AB 4 0 A 4 = [₁ [612] -2 (b) BC -ED-ED B = 2 5 (d) B-3C -1 (c) A + C 3 1 5 2 (e) AT 3. Do each of the following, given the matrix A and its inverse A -3 <-1 -1 +49 A = 1 0 -1 2 0 3 21-22 -3. (a) Write the following system in matrix form, then use the given information to solve the following system by the inverse matrix method. (16 points) -2 -61 +2r2+3rs <-23 2 (b) Write the uncoded row matrix for the message. Then encode the message using the matrix A. Message: RED. (5 points) (c) The following row matrix was encoded using the above matrix A. Find the original message. Encoded Row Matrix: [ -8 1 5]. (5 points) 4. Perform each of the indicated operations on the given matrices. If the operation is not possible, explain why. (no calculator) (2 points each) (a) AB 4 0 A 4 = [₁ [612] -2 (b) BC -ED-ED B = 2 5 (d) B-3C -1 (c) A + C 3 1 5 2 (e) AT

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a A system of linear equations is represented by the equation Ax B It tells us the following An A matrix denotes a coefficient matrix The matrix is ca... View the full answer