A3.2 Let L1 and L2 be two lnes in R3 given by Suppose that Li and...
Rule of Sarrus for the determinant of 3 x 3-matrices. Let a11 a12 a13 A=|a21 a22 a23 a3i a32 a33 21 22 Prove that Hint: Expand det A across the first row Rule of Sarrus for the determinant of 3 x 3-matrices. Let a11 a12 a13 A=|a21 a22 a23 a3i a32 a33 21 22 Prove that Hint: Expand det A across the first row
Let 1) a11 x1 + a12 x2 + a13 x3 = b1 2) a21 x1 + a22 x 2+ a23 x3 = b2 3) a31 x1 + a32 x 2+ a33 x 3 = b3 SHOW that if det(A) does not equal 0, where det (A) is the determinant of the coefficient matrix, then x2= det(A2)/det(A) where det (A2) is the determinant obtained by replacing the second column of det (A) by (b1, b2, b3) to the power T.
A matrix A has 3 rows and 4 columns: a11 a12 a13 a14 a21 a22 a23 a24 a31 a32 a33 a34 The 12 entries in the matrix are to be stored in row major form in locations 7609 to 7620 in a computer’s memory. This means that the entires in the first row (reading left to right) are stored first, then entries in the second row, and finally entries in the third row. Which location with a22 be stored...
linear algebra Let V (71, 72, 3}, where 71 73=(2,0,3). (1,3,-1), 2 = (0, 1,4), and (a) Prove: V is a basis. (b) Find the coordinates of (b, b2, bs) with respect to V = {71, U2, 3,}. (c) Suppose M and M' are matrices whose columns span the same vector space V. Let b be the coordinates of relative to M. Write a matrix equation that gives b', the coordinates of relative to M'. (Your answer should be a...
Please use C++ as a Programming language and do the tasks specified per the Guideline above and include comments of your work. Please make sure that the following test cases are working: Example 1 For input D13 D60 D76 D12 A17 D98 A94 D70 D3 A23 A42 D45 A100 D50 A99 A22 A87 A4 A90 D88 A71 A20 D39 D83 A97 A56 D28 A9 D43 A19 D5 A11 A54 A73 D54 A9 A24 A58 D6 D80 A72 A47 A82 A12...