Question

Find AB, if A = $open square brackets table row 0 cell negative 1 end cell row 0 2 end table close square brackets space and space straight B equals space open square brackets table row 3 5 row 0 0 end table close square brackets$

Solution

A equals open square brackets table row 0 cell negative 1 end cell row 0 2 end table close square brackets space straight B equals space open square brackets table row 3 5 row 0 0 end table close square brackets therefore space space space AB equals open square brackets table row 0 cell negative 1 end cell row 0 2 end table close square brackets space open square brackets table row 3 5 row 0 0 end table close square brackets equals open square brackets table row cell 0 plus 0 end cell cell 0 plus 0 end cell row cell 0 plus 0 end cell cell 0 plus 0 end cell end table close square brackets equals open square brackets table row 0 0 row 0 0 end table close square brackets equals 0

Note : In the case of real numbers a, b if a b = 0 then either a = 0 or b = 0.
But if the product of two matrices is a zero matrix, then it is not necessary that one of the matrices is a zero matrix.

Some More Questions From Matrices Chapter

For Daily Free Study Material Join wiredfaculty

Matrices

Find AB, if A = $open square brackets table row 0 cell negative 1 end cell row 0 2 end table close square brackets space and space straight B equals space open square brackets table row 3 5 row 0 0 end table close square brackets$

Some More Questions From Matrices Chapter

If a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements?

If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?

If a matrix A has 12 elements, what arc the possible orders it can have 7 What if it has 7 elements ?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Location