If P and Q are two different matrices of order 3 x 4 and 4 x 3 respectively, then the order of matrix QP is
A matrix of order m x n refers to a matrix with m rows and n columns. The order indicates the dimensions of the matrix. For example a 2 x 3 matrix has 2 rows and 3 columns. Matrices are used in solving systems of equations and various mathematical operations.
Class 12 Maths Chapter 3 on Determinants deals with square arrays of numbers used in solving linear equations. It includes topics such as properties of determinants calculation of 2×2 and 3×3 determinants cofactor expansion adjoint method Cramer’s rule and applications in finding areas of triangles and solving systems of linear equations.
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The order of a product of two matrices depends upon the order of the given matrices. Given: Matrix P has an order of 3 × 4 Matrix Q has an order of 4 × 3 For the matrix multiplication QP to be defined, the number of columns of Q must equal the number of rows of P.
Since Q is 4 × 3 and P is 3 × 4, the multiplication QP is not possible
Since the question asks for the order of QP, but the multiplication is undefined, none of the given options are correct.
If the question meant PQ instead of QP, then:
– The order of PQ would be 3 × 3 since P is 3 × 4 and Q is 4 × 3.
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