Two angles are supplementary. One angle is 40° more
1 answer:
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Answer:
15 ways
Step-by-step explanation:
There are 6 choices available for the first seat
There are 5 remaining choices for the second seat.
6(5) = 30 possible combinations
however, as the two seats are of equal power, the combination of AB is equal the the combination of BA etc, This eliminates half of the options.
Answer:
- True.
- True.
- False.
- False.
Step-by-step explanation:
1. <em>If two row interchanges are made in sucession, then the determinant of the new matrix is equal to the determinant of the original matrix. - </em><em>True. </em>
If you interchange two rows in sucession, then the determinant of the obtained matrix is equal to determinant of the original matrix, so this statement is true.
2.<em> If det(A) is zero, then two rows or two columns are the same, or a row or a column is zero. - </em>True.
A determinant is equal to 0 if
- two rows or columns are the same or in a proportion
- any row or column consist of zeros only.
3. <em>The determinant of A is the product of the diagonal entries in A. - </em>False.
We determine the value of a determinant by choosing a single row or a column (usually, we choose the ones which have zeros, to make the calculation faster and easier). Then, we cross the row and column of the first element and find the determinant of the smaller matrix obtained. Then, we multiply it by the chosen element and its sign determined by , where
are its row and column. We repeat the process for each element from the chosen column or row.
Therefore, the value of the determinant is not equal to the product of the diagonal entries.
4. - False.
Transposing a matrix does not change its determinant.