Find the value(s) of h for which the vectors are linearly dependent. Justify your answer. [Start 3 By 1 Matrix 1st Row 1st Colu
mn 3 2nd Row 1st Column negative 3 3rd Row 1st Column 6 EndMatrix ], [Start 3 By 1 Matrix 1st Row 1st Column 6 2nd Row 1st Column negative 9 3rd Row 1st Column 11 EndMatrix ], [Start 3 By 1 Matrix 1st Row 1st Column negative 2 2nd Row 1st Column 2 3rd Row 1st Column h EndMatrix ]The value(s) of h which makes the vectors linearly dependent is(are) nothing because this will cause ▼ x 1 x 2 x 3 to be a ▼ basic free variable. (Use a comma to separate answers as needed.)
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The pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of the legs of the triangle is equal to the square of the hypotenuse or a² + b² = c².
The converse of the pythagorean theorem on the other hand states that if the sum of the squares of 2 sides of a triangle is equal to the square of the third side or a² + b² = c², then the triangle is a right triangle.
The converse switches the order of the <em>if</em> and <em>then</em> statements.
On the whiteboard, I have also written it.
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