Math Answers

B = [ 0 a 0 0]
b 0 0 0
0 0 c 0
0 0 0 d
Let Bn the ( n x n) submatrix in the TOP left hand corner of B. Define B1, B2, B3 and B4. Compute determinate of B1, B2 , B3 and B4. Find conditions of a, b, c, d such that 4 determinants cannot be negative .

Let O be the origin and OA = a1i +a2j + a3k. find the equation of a line that passes through the point (1 2 3) and is perpendicular to the vector 3i+2j+3k.

Let O be the origin and OA =a1i + a2j + a3k. Find the equation of the planes such that every point on the plane is equidistant from the two end of the vector OA. You are asked to do this by first finding the point of intersection of the plane with the vector OA. State the condition for vector OA to have a magnitude iof 25

8x - 3= 1/4 [x + 16]< x + 10

given three vectors x1= transpose [ 2 4 8], x2= transpose [ 1 -1 1], x3= transpose [1 1 4]. can you write x1 as linear sum of x2 and x3?

X1 = [ 2 1 2], X2 = [ 1 -1 -2 ] , X3 = [ 1, 1, 1]
find the dimension and a set of basis vector of V

3x+7=28

Suppose three cell phones are tested randomly. We want to find out the number of defective cellphones that occur.
Let D represent the defective and N for non-defective cell phone. If we let X be the random variable representing the number of cell phones, can you show the values of random variable X?

Find the probability ​P(Ec​) if ​P(E)equals=0.23.
The probability ​P(Ec​) is

For each of the following situations, find an interval that contains (approximately or exactly) 99.73 percent of all the possible sample means. In which cases must we assume that the population is normally distributed? Why?