If A is a matrix of order 3×4 , then each row of A hasa)12 elemen...
Explanation:
A matrix is a rectangular array of numbers or elements which are arranged in rows and columns. The order of a matrix refers to the number of rows and columns it has. In the given question, the matrix A is of order 34, which means that it has 34 rows and an unknown number of columns.
To find out the number of elements in each row of matrix A, we can use the fact that the total number of elements in a matrix is equal to the product of its number of rows and columns.
Let the number of columns in matrix A be x. Then, we have:
Number of elements in A = 34x
But we also know that each row of A has the same number of elements, say y. Therefore, we can write:
Number of elements in A = 34y
Equating the two expressions for the number of elements in A, we get:
34x = 34y
Dividing both sides by 34, we get:
x = y
This means that each row of matrix A has the same number of elements as the number of columns in A. Therefore, the answer is option C, which says that each row of A has 4 elements.
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Explanation:
A matrix is a rectangular array of numbers or elements which are arranged in rows and columns. The order of a matrix refers to the number of rows and columns it has. In the given question, the matrix A is of order 34, which means that it has 34 rows and an unknown number of columns.
To find out the number of elements in each row of matrix A, we can use the fact that the total number of elements in a matrix is equal to the product of its number of rows and columns.
Let the number of columns in matrix A be x. Then, we have:
Number of elements in A = 34x
But we also know that each row of A has the same number of elements, say y. Therefore, we can write:
Number of elements in A = 34y
Equating the two expressions for the number of elements in A, we get:
34x = 34y
Dividing both sides by 34, we get:
x = y
This means that each row of matrix A has the same number of elements as the number of columns in A. Therefore, the answer is option C, which says that each row of A has 4 elements.