9 -4 0 0 A4 5 2 0 0 0 1 2 and consider the vector space R4 with the inner product given by v, w)Aw. Let 0 0 -2 and let W span(Vi, V2, V3 ). In this problem, you will apply the Gram-Schmidt procedure to vi, v2, v3 to find an orthogonal basis (u, u2, u31 for W...
Let A, B,C be matrices with the singular value decompositions 1. A-(4/5-3/5) ( 0 0 1 0 2 0 0 0 100 1叭-1/2 V3/2 2. B=11 00110 2 113 0 01 0 TO V3 V3 V3 a. Find the characteristic polynomials and eigenvalues of AA" and ATA, BBT and BTB, CCTand CTC. b. Find the largest possible value of IlAvILBvICvll,...
Newman Company currently produces and sells 7,000 units of a product that has a contribution margin of $9 per unit. The company sells the product for a sales price of $23 per unit. Fixed costs are $20,000. The company is considering investing in new technology that would decrease the variable cost per unit to $11 per unit and double total...
3 -5 0 1 0 2 0 0 Consider the matrix A= -1 -1 0 3 1 0 -3 2 Which of the following statements about the determinant of A is true? det(2A) = 2 det A det(-A) = det A O Multiplying any row of Aby -1 does not change det A Interchanging two rows of A does not...
1 2 -1 0 0 1 0 0 -1 3 ſi 2 0 2 5 [10 (11 points) The matrix A= 2 1 3 2 7 reduces to R= 0 3 1 a 6 5 0 1 Let ui, , 13, 144, and us be the columns of U. (a) Determine, with justification, whether each of the following sets is...
8. Idea Inc. have been on a steady decline for the last 12 months. A market research study conducted revealed that the product of Idea Inc. can be sold only for $440 as opposed to the current market price charged of $540 per unit. Idea Inc. has decided to revise its sales price to $440. The annual sales target volume...
Answer 7,8,9 1-11-1)--[-13.-(41-44)--:-- 3 1 0 0 -1 0 5 4 2-3 0 0 0 6. Consider the matrix A, above. Use diagonalization to evaluate A. 7. Consider the matrix B, above. Find a diagonal matrix D, and invertible matrix P, such that BPDP-1 8. Consider the matrix C, above. Find a diagonal matrix D, and invertible matrix P, such...
3. Consider the matrices 2 0 0 0 2 1 0 0 0 2 00 0 0 2 1 0 0 02 and B- 0 0 2 1 0 0 02 Show that a) SA (b) rk(A -21)- rk(B- 2I); (c) A and B are not similar. 3. Consider the matrices 2 0 0 0 2 1 0 0 0...
1 2 0 5 1 2 0 5 0 1. Consider the matrices A-10 0 3 | and B Ξ | 0 0 1 3 01 . Which of the following 0 0 0 1 0 0 0 0 1 statements is truc? a) None of the matrices is in reduced echelon form b) Both A and B are in...
Block Island TV currently sells large televisions for $380. It has costs of $290. A competitor is bringing a new large television to market that will sell for $310. Management believes it must lower the price to $310 to compete in the market for large televisions. Marketing believes that the new price will cause sales to increase by 10%, even...