If A+B = C where B and C are matrices of 5×5 then order of A is option is 5×5 5×3 3×5 3×3
Answers
LET order of A is x*y
Then order of AB can be obtain by
(x*y) (3*5) equivalent to (3*5)
Y=3 and x=3
Order of A is(3*3)
Answer:
3×3 is order of matrix A.
Step-by-step explanation:
Order of Matrix = Number of Rows x Number of Columns.
The number of rows and columns that a matrix has is called its order or its dimension. By convention, rows are listed first; and columns, second. Thus, we would say that the order (or dimension) of the matrix below is 3 x 4, meaning that it has 3 rows and 4 columns.
The order of matrix gives the dimension of the matrix, and it informs the number of rows and columns present in the matrix. The order of matrix is general represented as Am × n, where m is the number of rows, and n is the number of columns in the given matrix. Also, the multiplication answer of the order of matrix (m × n) gives the number of elements in the matrix.
Let's say :
Order of matrix A is x×y
Order of AB will be obtained by:
( x × y) (3× 5) equivalent to (3× 5)
where
y= 3 and x= 3
hence ,
order of A will be (3×3)
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