Could someone help me with these math problems?

1.

Compute the product AB by the definition of the product of matrices, where Ab, and Ab2 are computed separately, and by the row-column rule for computing AB. A= : "--[-3 -2] Set up the product Ab,, where b, is the first column of B. Ab1 = 00 (Use one answer box for A and use the other answer box for b1-)6 - 2 2 Compute A - 513 and (513 )A, where A = -5 2 2 A-513 =Compute each matrix sum or product if it is defined. If an expression is undefined. explain why. Let A- 2 8 -2 8- 8 -8 3 --[ 8 8]--[ -8 8]-20--[ -27 A+ 3B, 2C - 3E, DB, EB Compute the matrix sum A + 3B. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. A+ 3B= (Simplify your answer.) O B. The expression A + 3B is undefined because B is not a square matrix. O C. The expression A + 3B is undefined because A and 3B have different sizes. O D. The expression A + 3B is undefined because A is not a square matrix.Compute each matrix sum or product if it is defined. If an expression is undefined, explain why. Let A- 2 8 -2 8- $ 18 1]c-[_7 8]am.e-[ _ ; ;]- - 2A, B - 2A, AC, CD Compute the matrix product - 2A. Select the correct choice below and, if necessary, fill in the answer box within your choice. - 2A = O A. (Simplify your answer.) O B. The expression - 2A is undefined because matrices cannot be multiplied by numbers. O C. The expression - 2A is undefined because matrices cannot have negative coefficients. O D. The expression - 2A is undefined because A is not a square matrix.Suppose the first column of B is the sum of the second and third columns. What can be said about the first column of AB? Why? What can be said about the first column of AB? Why? A. The first column of AB is the sum of the second and third columns of AB. If B is | b, b2 ... bp . then the first column of AB is Ab, by definition. It is given that b, = b2 + b3. By D. The first column of AB is the sum of the second and third columns of B. If B is |b, b2 ... bp , then the first column of AB is Ab, by definition. It is given that b, = b2 - b3. By m The first column of AB is the sum of the second and third columns of AB. If B is | b, b2 ... bp , then the first column of AB is Ab, by definition. It is given that b, = b2 - b3. By The first column of AB is the sum of the second and third columns of B. If B is | b, b2 ... bp , then the first column of AB is Ab, by definition. It is given that b, = b2 + b3. By m"A= [-3 2and AB - -10- 17 2 determine the first and second columns of B. Let b, be column 1 of B and b2 be column 2 of B. b1 = 0Let A. B, and C be arbitrary matrices for which the indicated sums and products are dened. Determine whether the statement below is true or false. Justify the answer. AB+AC=A(B+C) Choose the correct answer below 0 A. The statement is true. The distributive law for matrices states that A(B + C) = AB +AC. O B. The statement is true. The multiplication laws for matrices are the same as those for real numbers. 0 C. The statement is false. The distributive law does not apply to matrix multiplication. O D. The statement is false. The distributive law for matrices states that A(B + C) = BA + CA. Let A and B be arbitrary matrices for which the indicated product is defined. Determine whether the statement below is true or false. Justify the answer. Each column of AB is a linear combination of the columns of B using weights from the corresponding column of A. Choose the correct answer below. O A. The statement is false. The definition of AB states that each column of AB is a linear combination of the columns of A using weights from the corresponding rows of B. O B. The statement is true. The definition of AB states that each column of AB is a linear combination of the columns of A using weights from the corresponding rows of B. O C. The statement is true. The definition of AB states that each column of AB is a linear combination of the columns of B using weights from the corresponding column of A. O D. The statement is false. The definition of AB states that each column of AB is a linear combination of the columns of A using weights from the corresponding column of B.HA--2 2 276 8 - -3 , What valve's ) ofk if any wil make AB = BA? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. k= (Use a comma to separate answers as needed.) O B. No value of k will make AB = BA104--22 276 8 - -3 , What valve's ) ofk if any wil make AB = BA? Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. k= (Use a comma to separate answers as needed.) O B. No value of k will make AB = BAHow many rows does B have if BC is a 8 x5 matrix? Matrix B has rows.If a matrix A is 9 x7 and the product AB is 9 x3, what is the size of B? The size of B is x