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Compute the amount of commission and total pay when given the percent of commission and the amount of sales. Example: If a salesman earns 7.5% commission on $815 in sales, determine the amount of the commission. Compute total pay when given hourly pay rate …
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The third invariant of the 2-D strain tensor is the determinant of the strain tensor. determinant[ ] = e1 e2. or, in this example ((6.6663x10-10)(-3.2961x10-8)) = -2.19731x10-17 = -2.19731x10-8 nano-strain _____ Step 16. Compute the uncertainties
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• Compute the inverse of a matrix using row reduction. • Compute the determinant of a matrix. • Use Cramer's rule to solve a linear system of equations. • Use matrix algebra to solve mathematical problems and application problems. 3. Vector spaces: • Determine if a set of vectors spans a given vector space, and interpret geometrically.
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Given a matrix, compute its determinant. I will let you decide what method works best, and I will not require you to use a certain method. Also know all of the determinant rules (Theorems 3.2, 3.3, 3.4), and how to apply these rules in “understanding” questions. Computation questions: 3.1: 1-28, 3.2: 11-38.
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In order to compute. Note: Sarrus rule is only applicable if the determinant is of order 3 by 3. Example 1. Use Sarrus rule to find the value of . 12 + 4 + 48 = 64. 24 + 3 + 32 = 59. Exercise 1. Use Sarrus rule to evaluate the determinant and verify your answer using calculator. Finding inverse of a matrix: Now let’s learn how to find inverse ...
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You then abstract the data from the column matrix on the right hand side of the equal sign and successively substitute in the numerator of the determinant equation, then evaluate. Thus: If you are using a calculator or a computer program like Mathcad, you will find that data entry also follows the pattern laid out in the matrices of Equation (5).
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Find the determinant of a square matrix. Identify the identity matrix (I). For a matrix A, find the inverse matrix A–1 (if it exists) such that A * A–1 = A–1 * A = I. Use an inverse matrix to solve matrix equations. Use the graphing calculator or a computer application with matrix capabilities.
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Example2: Compute x = 4 / 3 MOD 29. Again, instead of dividing by 3 we multiply by the inverse of 3 MOD 29, 3-1, which is still 10: x = 4 / 3 = 4 * 3-1 = 4 * 10 = 40 = 11 MOD 29. Check: 11 = 4 / 3 in Z29 since 3 * 11 = 33 = 4. Example3: To compute x = 1 / 3 MOD 26 we have to ask ourselves what number multiplied by 3 yields 1 MOD 26.
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(C – 15 Points) Compute the distance from this subspace to the vector b = [1 1 1]T. (D – 15 Points) Characterize completely the eigenvalues and eigenvectors of P for any arbitrary a. (E – 10 Points) Let the n-vectors a1, a2, … , an be a collection of linearly independent vectors in m-dimensional space.
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Compute determinant calculator