Find all values of k so thatk 23 k+1is invertible.-1₂To enter your answer, first select 'always', 'never', or whether k should be equal or not equal to specific values, then enter a value or a list of values separated by commas.Invertible: Always

For a square matrix to be invertible, the determinant of that matrix should not be equal to 0

Answered: Find all values of k so that 2 3 k+1 is…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 32EQ

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A Precocious Child and Her Blocks A child has 64 blocks that are 1-inch cubes. She wants to arrange the blocks into a solid rectangle h blocks long and w blocks wide. There is a relationship between h and w that is determined by the restriction that all 64 blocks must go into the rectangle. A rectangle h blocks long and w blocks wide uses a total of h X w blocks. Thus, hw = 64. Applying some elementary algebra, we get the relationship that we need: w=64h(2.3) Use a formula to express the perimeter P in terms of h and w. Using Equation 2.3, find a formula that expresses the perimeter P in terms of the height only. How should the child arrange the blocks if she wants the perimeter to be the smallest possible? Do parts b and c again, this time assuming that the child has 60 blocks rather than 64 blocks. In this situation, the relationship between h and w is w = 60/h. Note: Be careful when you do part c. The child will not cut the blocks into pieces
23. Find k such that x2+(k+1)x+k+4=0 will have two equal roots.

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Find all values of k so that 2 3 k+1 is invertible. - 12 To enter your answer, first select 'always', 'never', or whether k should be equal or not equal to specific values, then enter a value or a list of values separated by commas. Invertible: Always