Which of the following statement is false regarding operations with matrices?

A.) AB≠BA

B.) you can square a 3 x 1 matrix

C.) if A B, and C are all m x n matrices, then A + (B+C) = (A+B) + C

D.) if r is a matrix scalar, then rA=Ar

Question

Conductor

Mathematics

18 May, 11:57

Which of the following statement is false regarding operations with matrices?

A.) AB≠BA

B.) you can square a 3 x 1 matrix

C.) if A B, and C are all m x n matrices, then A + (B+C) = (A+B) + C

D.) if r is a matrix scalar, then rA=Ar

+1

Answers (1)

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Anton · Answer 1

B is false. You cannot square a 3x1 matrix.

In order to multiply matrices, the number of columns of the first matrix must match the number of rows of the second matrix. To square a 3x1 matrix, you would be multiplying a 3x1 by a 3x1; the number of columns in the first one is 1, but the number of rows of the second matrix is 3. They are not compatible.

Which of the following statement is false regarding operations with matrices?A.) AB≠BAB.) you can square a 3 x 1 matrixC.) if A B, and C are all m x n matrices, then A + (B+C) = (A+B) + CD.) if r is a matrix scalar, then rA=Ar

Which of the following statement is false regarding operations with matrices?

A.) AB≠BA

B.) you can square a 3 x 1 matrix

C.) if A B, and C are all m x n matrices, then A + (B+C) = (A+B) + C

D.) if r is a matrix scalar, then rA=Ar