A and B are n×n matrices. Check the true statements below: A. (detA)(detB)=detAB. B. The determinant of A is the product of the diagonal entries in A. C. If λ+5 is a factor of the characteristic polynomial of A, then 5 is an eigenvalue of A. D. An elementary row operation on A does not change the determinant.

Answer with Step-by-step explanation:

We are given that

A and B are matrix.

A.We know that for two square matrix A and B

Then,

Therefore, it is true.

B. det A  is  the product of diagonal entries in A.

It is not true for all matrix.It is true for upper triangular matrix.

Hence, it is false.

C.

When  is a factor of the characteristics polynomial of A then -5 is an eigenvalue of A not 5.

Hence, it is false.

D.An elementary row operation on A does not change the determinant.

It is true because when an elementary operation applied then the value of matrix A does not change.

1.true 2.false? ? i think. .

step-by-step explanation:

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where,

here given table is,

price ($), x   :           18         23       25       29       30       33

pairs sold, y :         16         13         10       8         6       2

so, ,   ,   ,

and   ,

thus, slop of the given line is,

⇒  

⇒   ≈ 33