Suppose P and Q are two different matrices of order 3 x n and n x p, then the order of the matrix P x Q is
A matrix is a rectangular arrangement of numbers in rows and columns. It is used to represent data and solve mathematical problems. Matrices are involved in various operations such as addition multiplication and inversion. They are fundamental in linear algebra and have applications in physics engineering and computer science.
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.
Share
P is a 3 × n order matrix
Q is an n × p order matrix
For multiplication of matrices P × Q to be possible, the number of columns of P and the number of rows of Q must be equal.
P has n columns.
Q has n rows.
Thus, multiplication is possible.
The order of the resulting matrix will be determined by the number of rows of P and the number of columns of Q, so the order of P × Q will be 3 × p.
Click for more:
https://www.tiwariacademy.com/ncert-solutions/class-12/maths/#chapter-4