Mathematics
Matrix A = and Matrix B = .
Assertion (A) : Product BA is possible and order of resulting matrix is 2 x 2.
Reason (R) : The product BA of two matrices A and B is possible only if number of rows in matrix B Is same as number of columns in matrix A.
A is true, R is false.
A is false, R is true.
Both A and R are true and R is correct reason for A.
Both A and R are true and R is incorrect reason for A.
Matrices
5 Likes
Answer
∴ Order of matrix A = 1 x 2
∴ Order of matrix B = 2 x 1
Since product of matrix is possible, only when the number of columns in the first matrix is equal to number of rows in second.
Since,
Number of columns in B = 1
Number of rows in A = 1
∴ Product BA is possible.
We know that,
The no. of rows in the resulting matrix is equal to the no. of rows in first matrix and no. of columns equals to the no. of columns in second matrix.
∴ Order of matrix BA = 2 x 2
So, assertion is true. But reason says the product BA is possible only if number of rows in matrix B is same as number of columns in matrix A, which is false.
Hence, option 1 is the correct option.
Answered By
3 Likes
Related Questions
Event A : Order of matrix A is 3 × 5.
Event B : Order of matrix B is 5 × 3.
Event C : Order of matrix C is 3 × 3.
Product of which two matrices gives a square matrix.
AB and AC
AB and BC
BA and BC
AB and BA
Two matrices A and B each of order 2 x 2.
Assertion (A) : A X B = 0 ⇒ A = 0 or B = 0.
Reason (R) : Let ≠ 0 and ≠ 0 but A x B = = 0.
A is true, R is false.
A is false, R is true.
Both A and R are true and R is correct reason for A.
Both A and R are true and R is incorrect reason for A.
A, B and C are three matrices each of order 2 x 2.
Statement 1 : If A x B = A x C ⇒ B = C
Statement 2 : Cancellation law is applicable in matrix multiplication.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Matrix A = and matrix B =
Statement 1 : AB = 0
Statement 2 : AB = 0, even if A ≠ 0 and B ≠ 0.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.