By R. K. Narayan
A venerable tiger, previous and toothless now, appears to be like again over his lifestyles from cubhood and early days roaming wild within the Indian jungle. Trapped right into a depressing circus occupation as 'Raja the magnificent', he's then offered into motion pictures (co-starring with a beefy Tarzan in a leopard epidermis) until eventually, discovering the human global too brutish and bewildering, he makes a dramatic bid for freedom.
R.K. Narayan's tale combines Hindu mysticism with ripe Malgudi comedy, viewing human absurdities during the eyes of a wild animal and revealing how, rather abruptly, Raja reveals candy companionship and peace.
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Additional resources for A Tiger for Malgudi (Penguin Twentieth-Century Classics)
Next, we focus on the x2 coefficients. Since our goal is to reach echelon form, we do not care about the coefficient on x2 in the top equation, so we concentrate on the second and third equations. Holt-4100161 16 CHAPTER 1 la October 1, 2012 9:37 16 Systems of Linear Equations • Add a multiple of one equation to another (focus on x2 ). Here we need to transform a32 to 0. Since (−1) · 1 + 1 = 0, we multiply −1 times the second equation and add the result to the third equation. Using only the second and third equations avoids reintroducing x1 into the third equation.
2x1 + 7x2 = 0 17. −7x1 − x2 + 2x3 = 11 6x3 = −1 18. 3x1 + 2x2 + 7x3 = 0 − 3x3 = −3 − x2 − 4x3 = 13 19. 4x1 + 3x2 − 9x3 + 2x4 = 3 6x2 + x3 = −2 − 5x2 − 8x3 + x4 = −4 + 2x3 = 12 20. 2x1 12x2 − 5x4 = −19 3x3 + 11x4 = 14 − x4 = 3 21. −2x1 − 3x2 + x3 − 13x4 = 2 2x3 = −7 + 8x4 − 2x5 + 13x6 = −6 22. −7x1 + 3x2 − 5x3 − x4 + 6x5 + 3x6 = 0 2x4 + 5x5 = 1 In Exercises 23–30, find the set of solutions for the given linear system. Note that some systems have only one equation. 23. −5x1 − 3x2 = 4 2x2 = 10 24.
Every linear system with free variables has infinitely many solutions. 49. Any linear system with more variables than equations cannot have a unique solution. 50. If a linear system has the same number of equations and variables, then it must have a unique solution. 51. Suppose that the echelon form of an augmented matrix has a pivot position in every column except the rightmost one. How Holt-4100161 28 la October 1, 2012 9:37 28 Systems of Linear Equations CHAPTER 1 many solutions does the associated linear system have?