. Det IQ11 Suppose that P(AB) 04 (a) PAn B) (b) P(A'nB) and P(B) 0.5, Determine...
2-142. Suppose that P(A1 B) Determine P(BIA). : 0.6, P(A)-04, and P(B)-0.3. / 2-143. Suppose that P(AIB)=0.5,PCAI B)-0.1, and P(B) 0.7. Determine P(BIA).
2.16 Suppose that P(A) = 0.4, P(B) = 0.5 and P(AB) = 0.2. Find the following: a) P(AUB) b) P(A'B) e) PIA'(AUB) d) PIAU(A'B)
True or False det(AB) det(BA) det(A B) det(A) + det(B) det(CA) c det(A) = C det((AB)T) det(A) det(B) det(B) => A = B det(A) det(A) det(A) A triangular matrix is nonsingular if and only if its diagonal entries are all nonzero.
Let A and B be two events such that P(A)=0.35, P(B)=0.3 and P(AB)=0.5. Let A' be the complement of A and B' be the complement of B. (give answers to TWO places past decimal) 1. Compute P(A'). 0.65 Submit Answer Answer Submitted: Your final submission will be graded after the due date. Tries 1/99 Previous Tries 2. Compute P (AUB). .5 Submit Answer Answer Submitted: Your final submission will be graded after the due date. Tries 1/99 Previous Tries 3....
4. Let A and B be 4 x 4 matrices. Suppose det A= 4 and det(AB) = 20. (a) (4 points) What is det B? (b) (4 points) Is B invertible? Why or why not? (c) (4 points) What is det(AT)? (d) (4 points) What is det(A-1)? 5. (6 points) Let A be an n x n invertible matrix. Use complete sentences to explain why the columns of AT are linearly independent. [2] and us 6. (6 points) Let vi...
[Q1] Suppose that PAlB) 04 and P(B0.5. Determine the following (a) P(AnB) (b) PA'nB)
2. A property of determinants states, det(AB) = det(A) det(B). Let A be a singular, diagonalizable matrix. What does this property imply about the matrices P, P/, and D? Explain what this means in the context transformation matrices.
[4 points Suppose A, B, and Care 5 x 5 matrices with det(A) = -2, det(B) = 10 and the columns of C are linearly dependent. Find the following or state that there is not enough information: (a) det(10B-) (b) det(AB) (c) det(CA+CB)
If A, B are 3 x 3 matrices such that det(AB-1) = 12 and det(A) = 4. Find 1) det(B) 2) det(AT. (3B)-1) 3) If A? + AB = { 1, find det(A + B)
3. Let det(A) = 3 and det B = –2. Find the indicated determinants: (a) det(AB) (b) det(B-1A) (c) det(AAT) (d) det(3BT)