LECTURE SLIDES - MISHAL CHAUHAN
MATRICES
MISHAL CHAUHAN
CLASS 12
MODULE - 2
WHAT SHALL WE LEARN TODAY?
LECTURE SLIDES - MISHAL CHAUHAN
 MULTIPLICATION OF MATRICES
 DETERMINANT OF MATRIX
 EXAMPLES
MULTIPLICATION OF MATRICES
LECTURE SLIDES - MISHAL CHAUHAN
MULTIPLICATION OF MATRICES
LECTURE SLIDES - MISHAL CHAUHAN
MULTIPLICATION OF MATRICES =
EXAMPLE - 1
LECTURE SLIDES - MISHAL CHAUHAN
MULTIPLICATION OF MATRICES =
EXAMPLE - 1
LECTURE SLIDES - MISHAL CHAUHAN
Sol:
MULTIPLICATION OF MATRICES =
EXAMPLE - 1
LECTURE SLIDES - MISHAL CHAUHAN
MULTIPLICATION OF MATRICES =
EXAMPLE - 2
LECTURE SLIDES - MISHAL CHAUHAN
MULTIPLICATION OF MATRICES =
EXAMPLE - 2
LECTURE SLIDES - MISHAL CHAUHAN
Sol:
MULTIPLICATION OF MATRICES =
EXAMPLE - 3
LECTURE SLIDES - MISHAL CHAUHAN
MULTIPLICATION OF MATRICES =
EXAMPLE - 3
LECTURE SLIDES - MISHAL CHAUHAN
Sol:
MULTIPLICATION OF MATRICES
LECTURE SLIDES - MISHAL CHAUHAN
TIMER EXERCISE…!
Que:
2 Minutes
MULTIPLICATION OF MATRICES
LECTURE SLIDES - MISHAL CHAUHAN
TIMER EXERCISE…!
MULTIPLICATION OF MATRICES =
HOMEWORK - 1
LECTURE SLIDES - MISHAL CHAUHAN
PROPERTIES OF MATRIX
MULTIPLICATION
LECTURE SLIDES - MISHAL CHAUHAN
Distributive Property
Associative Property
MULTIPLICATION OF MATRICES =
EXAMPLE - 4
LECTURE SLIDES - MISHAL CHAUHAN
MULTIPLICATION OF MATRICES =
EXAMPLE - 4
LECTURE SLIDES - MISHAL CHAUHAN
Sol:
MULTIPLICATION OF MATRICES =
EXAMPLE - 5
LECTURE SLIDES - MISHAL CHAUHAN
MULTIPLICATION OF MATRICES =
EXAMPLE - 5
LECTURE SLIDES - MISHAL CHAUHAN
Sol:
MULTIPLICATION OF MATRICES =
EXAMPLE - 5
LECTURE SLIDES - MISHAL CHAUHAN
MULTIPLICATION OF MATRICES =
EXAMPLE - 6
LECTURE SLIDES - MISHAL CHAUHAN
MULTIPLICATION OF MATRICES =
EXAMPLE - 6
LECTURE SLIDES - MISHAL CHAUHAN
Sol:
MULTIPLICATION OF MATRICES =
HOMEWORK - 2
LECTURE SLIDES - MISHAL CHAUHAN
i)
ii)
iii)
INVERTIBLE MATRIX
LECTURE SLIDES - MISHAL CHAUHAN
INVERTIBLE MATRIX
LECTURE SLIDES - MISHAL CHAUHAN
INVERTIBLE MATRIX
IMPORTANT:
LECTURE SLIDES - MISHAL CHAUHAN
1. A rectangular matrix does not possess inverse
matrix, since for products BA and AB to be
defined and to be equal, it is necessary that
matrices A and B should be square matrices of the
same order.
2. If B is the inverse of A, then A is also the
inverse of B.
MULTIPLICATION OF MATRICES =
EXAMPLE - 7
LECTURE SLIDES - MISHAL CHAUHAN
MULTIPLICATION OF MATRICES =
EXAMPLE - 7
LECTURE SLIDES - MISHAL CHAUHAN
Sol:
DETERMINANT OF A 2x2 MATRIX
LECTURE SLIDES - MISHAL CHAUHAN
DETERMINANT OF A 3X3 MATRIX
LECTURE SLIDES - MISHAL CHAUHAN
DETERMINANT OF A 3X3 MATRIX
EXAMPLE - 8
LECTURE SLIDES - MISHAL CHAUHAN
REFERENCE BOOKS
ACKNOWLEDGEMENT
LECTURE SLIDES - MISHAL CHAUHAN
 CENGAGE PUBLICATION, MATHEMATICS
(G.TEWANI)
 R.D SHARMA OBJECTIVE MATHEMATICS FOR
IITJEE
 WILEY MATHEMATICS
 PEARSON MATHEMATICS, IITJEE
SUPERCOURSE
 GSEB QUESTIONBANKS
 NCERT EXEMPLAR
LECTURE SLIDES - MISHAL CHAUHAN
THANKS

MATRICES CLASS XII MODULE 2