Answer Happy

Compute each matrix sum or product if it is defined. If an expression is undefined, explain why. Let A= -2A, B-2A, AC, CD 0 B-2A= (Simplify your answer) 5-4 Compute the matrix product-2A Select the correct choice below and, if necessary, fill in the answer box within your choice. -2A= OA. (Simplify your answer.) OB. The expression -2A is undefined because A is not a square matrix OC. The expression -2A is undefined because matrices cannot have negative coefficients. OD. The expression -2A is undefined because matrices cannot be multiplied by numbers. Compute the martrix sum B-2A Select the correct choice below and, if necessary, fill in the answer box within your choice. OA OB. The expression B-2A is undefined because B and A have different sizes. OC. The expression B-2A is undefined because B and -2A have different sizes OD. The expression B-2A is undefined because A is not a square matrix. Compute the matrix product AC. Select the correct choice below and, if necessary, fill in the answer box within your choice. CD= OA (Simplify your answer) OB. The expression CD is undefined because the corresponding entries in C and D are not equal. OC. The expression CD is undefined because matrices with negative entries cannot be multiplied. OD. The expression CD is undefined because square matrices cannot be multiplied. B AC= OA (Simplify your answer) OB. The expression AC is undefined because the number of rows in A is not equal to the number of rows in C OC. The expression AC is undefined because the number of columns in A is not equal to the number of rows in C. OD. The expression AC is undefined because the number of rows in A is not equal to the number of columns in C Compute the matrix product CD. Select the correct choice below and, if necessary, fill in the answer box within your choice. 8-4 2-4-2 and D= 25 -24 GELZE
Determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify your answer. T(X₁ X2 X3 X4) = (x2 + x3 x3 + X4 X₂ + x3,0) a. Is the linear transformation one-to-one? A. T is one-to-one because T(x)=0 has only the trivial solution. B. T is one-to-one because the column vectors are not scalar multiples of each other. C. T is not one-to-one because the columns of the standard matrix A are linearly independent. OD. T is not one-to-one because the standard matrix A has a free variable. b. Is the linear transformation onto? A. T is not onto because the fourth row of the standard matrix A is all zeros. B. T is onto because the standard matrix A does not have a pivot position for every row. C. T is onto because the columns of the standard matrix A span R4. D. T is not onto because the columns of the standard matrix A span Rª.