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All Textbook Solutions for College Algebra (MindTap Course List)

39E 40E 41E 42E 43E 44E 45E 46E 47E 48E 49E 50E 51E Let A=[2.31.73.123.5184.79.1],B=[2.55.27]and C=[5.82.94.1]. Use a graphing calculator to find each result. AB+C 53E 54E 55E 56E 57E Let A=[1325],B=[13], and C=[32]. Perform the operations if possible. AB+B 59E 60E 61E 62E 63E 64E 65E 66E Use a graphing calculator to help solve each problem. Beverages were sold to parents and children at a school basketball game in the quantities and prices given in the tables. Find matrices Q and P that represent the quantities and prices, find the product QP and interpret the results. Quantities Coffee Milk Cola Adult Males 217 23 319 Adult Females 347 24 340 Children 3 97 750 Price Coffee 0.75 Milk 1.00 Cola 1.25 68E 69E 70E 71E 72E 73E 74E 75E 76E 77E 78E 79E 80E 81E 82E 83E 84E Determine if the statement is true or false. If the statement is false, then correct it and make it true. For the product of two matrices to be defined, the number of rows of the first matrix must equal the number of columns of the second matrix.86E 87E 88E 89E 90E 1SC 2SC 3SC 4SC 5SC 6SC Getting Ready You should be able to complete these vocabulary and concept statements before you proceed to the practice exercises. Fill in the blanks. Matrices A and B are multiplicative inverse if _____________.2E 3E 4E Practice Find the inverse of each matrix, if possible. [3423]Practice Find the inverse of each matrix, if possible. [2335]Practice Find the inverse of each matrix, if possible. [3725]Practice Find the inverse of each matrix, if possible. [1225]Practice Find the inverse of each matrix, if possible. [103113211]Practice Find the inverse of each matrix, if possible. [211221111]Practice Find the inverse of each matrix, if possible. [321111431]Practice Find the inverse of each matrix, if possible. [213230101]Practice Find the inverse of each matrix, if possible. [1350161411]Practice Find the inverse of each matrix, if possible. [123456789]Practice Find the inverse of each matrix, if possible. [123012001]16E 17E 18E 19E 20E 21E 22E 23E 24E 25E 26E 27E 28E 29E 30E 31E 32E 33E 34E 35E 36E 37E 38E 39E 40E 41E 42E 43E 44E 45E 46E 47E 48E 49E 50E 51E 52E 53E 54E 55E 56E 57E 58E 59E 60E Self Check Evaluate 3-25-4 In A=123456789 Self Check Find the cofactor of a23.3SC 4SC 5SC 6SC Use Cramers rule to solve 2x-y+2z=6x-y+z=2x+y+2z=9.Self Check Find an equation in standard form of line passing through 1,3 and 3,5.Self Check Find the area of triangle with vertices at 1,2,2,3 and -1,4.1E 2E 3E 4E 5E 6E Practice Evaluate each determinant. 21-23 Practice Evaluate each determinant. -3-62-5 Practice Evaluate each determinant. 2-3-35 10E 11E 12E 13E 14E 15E 16E 17E In Exercises 11-18, A = 1-2345-6-789. Find each minor or cofactor. C32 Evaluate each determinant by expanding by cofactors. 2-35-21313-2 Evaluate each determinant by expanding by cofactors. 131-2533-2-2 Evaluate each determinant by expanding by cofactors. 1-1221311-1 Evaluate each determinant by expanding by cofactors. 13121-12-11 Evaluate each determinant by expanding by cofactors. 21-11352-53 Evaluate each determinant by expanding by cofactors. 31-2-321130 Evaluate each determinant by expanding by cofactors. 01-3-3522-53 26E 27E 28E 29E 30E 31E 32E 33E 34E 35E 36E If abcdefghi=3,find the value of each determinant. a+gb+hc+idefghi If abcdefghi=3,find the value of each determinant. ghiabcdef Use Cramers Rule to find the solution of each system, if possible. 3x+2y=72x-3y=-4 Use Cramers Rule to find the solution of each system, if possible. x-5y=-63x+2y=-1 Use Cramers Rule to find the solution of each system, if possible. x-y=33x-7y=9 Use Cramers Rule to find the solution of each system, if possible. 2x-y=-6x+y=0 Use Cramers Rule to find the solution of each system, if possible. x+2y+z=2x-y+z=2x+y+3z=4 Use Cramers Rule to find the solution of each system, if possible. x+2y-z=-12x+y-z=1x-3y-5z=17 Use Cramers Rule to find the solution of each system, if possible. 2x-y+z=53x-3y+2z=10x+3y+z=0 46E 47E 48E 49E 50E 51E 52E 53E 54E 55E 56E 57E 58E 59E 60E 61E 62E 63E 64E 65E 66E 67E 68E 69E Ice skating The illustration shows three circles traced out by a figure skater during her performance. If the centers of the circles are the given distances apart, find the radius of each circle. Refer to the diagram from the book College algebra, page no : 654 Explain how to find the determinant of a 22 matrix.72E 73E 74E 75E 76E 77E 78E 79E 80E 81E Use an example chosen from 22 matrices to show that for nn matrices A and B,ABBA but AB=BA.If A and B are matrices and AB=0, msut |A|=0 or |B|=0? Explain.84E 85E 86E 87E 88E 89E 90E Self Check Decompose 2x+2xx+2 into partial fractions.2SC 3SC 4SC 5SC 1E 2E Decompose each fraction into partial fractions. 3x-1xx-1 Decompose each fraction into partial fractions. 4x+6xx+2 Decompose each fraction into partial fractions. 2x-15xx-3 Decompose each fraction into partial fractions. 5x+21xx+7 Decompose each fraction into partial fractions. 3x+1x+1x-1 Decompose each fraction into partial fractions. 9x-3x+1x-2 Decompose each fraction into partial fractions. -4x2-2x Decompose each fraction into partial fractions. 1P2-300P Decompose each fraction into partial fractions. -2x+11x2-x-6 Decompose each fraction into partial fractions. 7x+2x2+x-2 Decompose each fraction into partial fractions. 3x-23x2+2x-3 Decompose each fraction into partial fractions. -x-17x2-x-6 Decompose each fraction into partial fractions. 9x-312x2-13x+15 Decompose each fraction into partial fractions. -2x-63x2-7x+2 Decompose each fraction into partial fractions. 4x2+4x-2xx2-1 Decompose each fraction into partial fractions. x2-6x-13x+2x2-1 Decompose each fraction into partial fractions. x2+x+3xx2+3 Decompose each fraction into partial fractions. 5x2+2x+2x3+x Decompose each fraction into partial fractions. 3x2+8x+11x+1x2+2x+3 Decompose each fraction into partial fractions. -3x2+x-5x+1x2+2 Decompose each fraction into partial fractions. 5x2+9x+3xx+12 Decompose each fraction into partial fractions. 2x2-7x+2xx-12 Decompose each fraction into partial fractions. -2x2+x-2x2x-1 Decompose each fraction into partial fractions. x2+x+1x3 Decompose each fraction into partial fractions. 3x2-13x+18x3-6x2+9x Decompose each fraction into partial fractions. 3x2+13x+20x3+4x2+4x Decompose each fraction into partial fractions. x2-2x-3x-13 Decompose each fraction into partial fractions. x2+8x+18x+33 Decompose each fraction into partial fractions. x3+4x2+2x+1x4+x3+x2 Decompose each fraction into partial fractions. 3x3+5x2+3x+1x2x2+x+1 Decompose each fraction into partial fractions. 4x3+5x2+3x+4x2x2+1 Decompose each fraction into partial fractions. 2x2+1x4+x2 Decompose each fraction into partial fractions. -x2-3x-5x3+x2+2x+2 Decompose each fraction into partial fractions. -2x3+7x2+6x2x2+2 Decompose each fraction into partial fractions. x3+4x2+3x+6x2+2x2+x+2 Decompose each fraction into partial fractions. x3+3x2+2x+4x2+1x2+x+2 Decompose each fraction into partial fractions. 2x4+6x3+20x2+22x+25xx2+2x+52 40E Decompose each fraction into partial fractions. x3x2+3x+2 42E Decompose each fraction into partial fractions. 3x3+3x2+6x+43x3+x2+3x+1 44E 45E Decompose each fraction into partial fractions. x4+x3+3x2+x+1x2+12 Decompose each fraction into partial fractions. 2x4+2x3+3x2-1x2-xx2+1 Decompose each fraction into partial fractions. x4-x3+5x2+x+6x2+3x2+1 49E 50E 51E 52E 53E 54E 55E 56E 57E Match the rational expression on the left with the correct partial fraction decomposition form on the right. x2-2x+3x2x-4x2+5 a. Ax+Bx2+Cx3+Dx4+Ex-4+Fx+Gx2+5 b. Ax+Bx-4+Cx-42+Dx-43+Fx+Gx2+5+Hx+Ix2+52 c. Ax+Bx2+Cx-4+Dx2+Ex+Fx3+5 d. Ax+Bx2+Cx3+Dx-4+Ex-42+Fx+Gx2+5 e. Ax+Bx-4+Cx+Dx2+5 f. Ax+Bx2+Cx-4+Dx+Ex2+5 59E 60E 61E Match the rational expression on the left with the correct partial fraction decomposition form on the right. 62. x2-2x+3x2x-4x3+5 a. Ax+Bx2+Cx3+Dx4+Ex-4+Fx+Gx2+5 b. Ax+Bx-4+Cx-42+Dx-43+Fx+Gx2+5+Hx+Ix2+52 c. Ax+Bx2+Cx-4+Dx2+Ex+Fx3+5 d. Ax+Bx2+Cx3+Dx-4+Ex-42+Fx+Gx2+5 e. Ax+Bx-4+Cx+Dx2+5 f. Ax+Bx2+Cx-4+Dx+Ex2+5 Graph: 3x+2y6.2SC 3SC 4SC 5SC 6SC 7SC 8SC 1E 2E 3E 4E 5E 6E 7E 8E

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