An elementary ntimesn row replacement matrix is the same as the ntimesn identity matrix with at least one of the 1's replaced with some number k. This means it is a triangular matrix, and so its determinant is the product of its diagonal entries. Thus, the determinant of an elementary row replacement matrix is

options are ;

1.exactly one, all , at least one

2. 1's or 0's

3.Identity matrix, invertible matrix , triangular matrix or a zero matrix

4. product or sum

5. a number

1's or 0's

Step-by-step explanation:

Thinking process:

The matrix property: det (AB) = det (A) det (B)

Adding the multiple of one row to another will be equivalent to left multiplication by an elementary matrix.

For example, let E be some form of matrix such that:

n x n matrix, and so E is an n x n elementary matrix which acts as an operator which adds l copies to the i row and to row j.

Applying the same row operation to B results in the matrix AB.

This, the matrix, without the loss of generality becomes:

therefore, as seen from the matrix, the triangular matrix of the product is diagonal.

The matrix will have a diagonal so the determint of A, det A = 1

thus: det (AB) = det (A)det(B) = 1 det (B) = det (B)

the answer is 150.6

step-by-step explanation:

you multiply .02 by 30 and get .6.

and then you multiply 5.00 by 30 and get 150.

hope this !

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15