Sketch five distinct lines in two-dimensional space that pass through the origin

Question

Sketch five distinct lines in two-dimensional space that pass through the origin. Give the equations of these lines. Give a system of five equations in two unknowns that hat a unique solution. In three-dimensional space, sketch four distinct planes that all contain the x1-axis. Give the equations of these four planes. Give a system of four equations in three unknowns that has infinitely many solutions. After performing elimination on a 4 times 7 matrix, what it the largest number of non-zero entries the matrix can have? Let E be the 3 times 3 elementary matrix that adds twice the second row to the third row. Compute E100.

Explanation / Answer

x-2 y-3

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