If matirx A is called symmetric if AT=A. Verify for all 3×3 matirices B+BT is symmetric
1 answer:
Answer:
Step-by-step explanation:
Given that B is 3x3 matrix.
To prove that B+B^T is symmetry
We know B Transpose matrix will be the matrix got by interchanging the rows and columns of B.
When we interchange rows and columns, we find diagonals remain in the same position
In other words, if i =j
When we add B with B transpose we add diagonal elements twice
and other elements aij with aji for each of the other entry.
Diagonal elements will not pose a problem now when the sum matrix is transposed
B+BT will have ijth entry as =
i.e. the matrix have to be symmetrical
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Answer:
C (4,3)
Step-by-step explanation:
Steps to find the circumcenter:
1) Find and Calculate the midpoint of given coordinates or midpoints.
2) Calculate the slope of the perpendicular bisector lines
3) By using the midpoint and the slope, find out the equation of the line
4) Do the same for another line
Solve the equations of two lines to get the intersection point.
The intersection point will be the circumcenter of the triangle.
Given :
X(-2,1), Y(2,-3), Z(6,-3)
Please see the attached file:
Answer:
(a) We will form an equation of line from the points given (6,10) and (2,15)
Using:
On substituting the values in the formula above we will get the required equation of line.
On simplification we will get:
(b) We need to tell at day 0 put x=0 in above equation:
Anika worked for 70 hours on the set up crew on the day the fair arrived at the fairgrounds day 0.
Now, we need to tell decrease per day which is equal to the slope of line
To find the slope compare the equation with general equation which is y=mx+c where m is slope
Here, in
which is the decrease per day.