Recent questions and answers in Applications of Matrices and Determinants

Two geographical regions separated by high mountains are

asked Jun 3, 2020 by meena.clay6

0 answers

Observe the pictures A and B carefully Which of the following statements is correct for the above given pictures?

answered Feb 21, 2018 by swapnarajan1982

1 answer

19. The total monthly earnings of a worker in a factory is given by I = p + qx + ry, where x denotes the number of points of honesty and y denotes the number of points of punctuality. Data for three months are as follows: Month Earnings X (no. of points) Y(no. of points) 1 6950 40 10 2 6725 35 9 3 7100 40 12 (a) Represent the above data by linear equations and write its matrix form. (b) Is it possible to solve the system of equations so obtained using matrices? (c) Which value you prefer to be rewarded most and why?

answered Jun 12, 2015 by azadsk2000_1

1 answer

Can I put k=1,2,3 ?

answered Jul 17, 2013 by pady_1

1 answer

For what valus of $k$, the system of equations $kx+y+z=1\;,x+ky+z=1\;,x+y+kz=1\;,$have (i) unique solution (ii) more than one solution (iii) no solution.

answered Jun 3, 2013 by thanvigandhi_1

1 answer

Discuss the solutions of the system of equations for all values of $\lambda$. $ x+y+z=2\;,2x+y-2z=2\;,\lambda\;x+y+4z=2$

answered Jun 3, 2013 by thanvigandhi_1

1 answer

Examine the consistency of the following system of equation. If it is consistent than solve the same. $x+y-z=1\;,2x+2y-2z=2\;,-3x-3y+3z=-3$

answered Jun 3, 2013 by thanvigandhi_1

1 answer

A small seminar hall can hold 100 chairs.Three different colours(red,blue and green) of chairs are available. The cost of a red chair is Rs.240, cost of a blue chair is Rs.260, and the cost of a green chair is Rs.300. The total cost of chair is Rs.25,000. Find atleast 3 different solution of the number of chairs in each colour to be purchased.

answered Jun 3, 2013 by thanvigandhi_1

1 answer

If$A=\begin{bmatrix} 5 & 2 \\7 & 3 \end{bmatrix}$and$B=\begin{bmatrix} 2 & -1 \\-1 & 1 \end{bmatrix}$ verify that$(AB)^{T}=B^{T}A^{T}$

answered Jun 3, 2013 by thanvigandhi_1

1 answer

Examine the consistency of the following system of equation. If it is consistent than solve the same. $x-4y+7z=14\;,3x+8y-2z=13\;,7x-8y+26z=5 $

answered May 30, 2013 by thanvigandhi_1

1 answer

Examine the consistency of the following system of equation. If it is consistent than solve the same. $x+y+z=7\;,x+2y+3z=18\;,y+2z=6 $

answered May 30, 2013 by thanvigandhi_1

1 answer

Examine the consistency of the following system of equation. If it is consistent than solve the same. $x-3y-8z=-10\;,3x+y-4z=0\;,2x+5y+6z-13=0 $

answered May 30, 2013 by thanvigandhi_1

1 answer

Examine the consistency of the following system of equation. If it is consistent than solve the same. $4x+3y+6z=25\;,x+5y+7z=13\;,2x+9y+z=1 $

answered May 29, 2013 by thanvigandhi_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method: $\large \frac{1}{x}+\frac{2}{y}-\frac{1}{z}=1\;;\frac{2}{x}+\frac{4}{y}+\frac{1}{z}=5\;;\frac{3}{x}-\frac{2}{y}-\frac{2}{z}=0$

answered May 28, 2013 by thanvigandhi_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method : $ 2x-y+z=2\;,6x-3y+3z=6\;,4x-2y+2z=4$

answered May 28, 2013 by thanvigandhi_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method : $x+2y+z=6\;,3x+3y-z=3\;,2x+y-2z=-3 $

answered May 28, 2013 by thanvigandhi_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method : $3x+y-z=2\;,2x-y+2z=6\;,2x+y-2z=-2 $

answered May 28, 2013 by thanvigandhi_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method : $ 2x+y-z=4\;,x+y-2z=0\;,3x+2y-3z=4 $

answered May 28, 2013 by thanvigandhi_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method : $x+y+z=4\;,x-y+z=2\;,2x+y-z=1 $

answered May 27, 2013 by thanvigandhi_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method : $4x+5y=9\;,8x+10y=18 $

answered May 27, 2013 by thanvigandhi_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method: $2x+3y=5\;,4x+6y=12 $

answered May 27, 2013 by thanvigandhi_1

1 answer

Solve the following non-homogeneous system of linear equation by determinant method : $3x+2y=5\;,x+3y=4$

answered May 27, 2013 by thanvigandhi_1

1 answer

Find the rank of the following matrix :$\begin{bmatrix} 1 & -2 & 3 &4 \\-2 & 4 & -1 &-3 \\-1 & 2 & 7 &6 \end{bmatrix}$

answered May 27, 2013 by thanvigandhi_1

1 answer

Find the rank of the following matrix :$\begin{bmatrix} 1 & 2 & -1 &3 \\2 & 4 & 1 &-2 \\3 & 6 & 3 &-7 \end{bmatrix}$

answered May 26, 2013 by thanvigandhi_1

1 answer