In reference to version 224734d7be7ff0c4a8adb3a206356ea122112f33
(Section 2.2)
A Picture of a Consistent System [...]: This entire paragraph is awkwardly worded with confusing directional references. Consider a complete rewrite to more clearly identify the flow of the text with less dependence on "above", "below" and "following". "Below" and "following" are confusing at the outset.
"Solve this equation": missing "click and drag" text, but the grid doesn't have click/draggable elements so this may be on purpose. Or, the grid should have click/draggable elements and text is missing.
Consider examining each example coord box to see if it omits a needed "click and drag" text. Will not report further instances of this.
"A picture of the above equation": Open controls overlays the final vector, making it impossible to see what you're doing (Firefox and Chrome), and since the grid has no click/drag features, this makes the example difficult to solve.
"It will be important to know what are all linear combinations of a set of vectors v 1 , v 2 ,..., v k in R n . ": Consider putting "are" at the end, as in: "It will be important to know what all linear combinations of a set of vectors v 1 , v 2 ,..., v k in R n are. "
"The vertical line is “such that”; everything to the left of it is": semicolon should be comma (or colon).
"All mathematical notation is only shorthand: any sequence of symbols must translate into a usual sentence.": Consider removing adverb "only" and restriction "must", and replace "usual" with "simple". "Mathematical notation is just shorthand for a mathematical sentence."
"Three characterizations": Putting the math in the middle of the sentence breaks up the flow. Consider putting all text before the math in all 3 cases: "This vector equation has a solution: ...", and "This linear equation ... is consistent:".
"the origin and the heads of the vectors. Note that three...": Note that in this sentence "origin" is used, which is more clear than "tail". Reference previous error about using "head" and "tail": "origin" is a good substitute for "start" as written in that feedback note.
The examples are really well done. Moving the span from R(n) to R(n-1) makes the display "pop" into the lower dimension by changing color. This "snap to" feature makes the display easy to see and play with.
In reference to version 224734d7be7ff0c4a8adb3a206356ea122112f33
(Section 2.2)
A Picture of a Consistent System [...]: This entire paragraph is awkwardly worded with confusing directional references. Consider a complete rewrite to more clearly identify the flow of the text with less dependence on "above", "below" and "following". "Below" and "following" are confusing at the outset.
"Solve this equation": missing "click and drag" text, but the grid doesn't have click/draggable elements so this may be on purpose. Or, the grid should have click/draggable elements and text is missing.
Consider examining each example coord box to see if it omits a needed "click and drag" text. Will not report further instances of this.
"A picture of the above equation": Open controls overlays the final vector, making it impossible to see what you're doing (Firefox and Chrome), and since the grid has no click/drag features, this makes the example difficult to solve.
"It will be important to know what are all linear combinations of a set of vectors v 1 , v 2 ,..., v k in R n . ": Consider putting "are" at the end, as in: "It will be important to know what all linear combinations of a set of vectors v 1 , v 2 ,..., v k in R n are. "
"The vertical line is “such that”; everything to the left of it is": semicolon should be comma (or colon).
"All mathematical notation is only shorthand: any sequence of symbols must translate into a usual sentence.": Consider removing adverb "only" and restriction "must", and replace "usual" with "simple". "Mathematical notation is just shorthand for a mathematical sentence."
"Three characterizations": Putting the math in the middle of the sentence breaks up the flow. Consider putting all text before the math in all 3 cases: "This vector equation has a solution: ...", and "This linear equation ... is consistent:".
"the origin and the heads of the vectors. Note that three...": Note that in this sentence "origin" is used, which is more clear than "tail". Reference previous error about using "head" and "tail": "origin" is a good substitute for "start" as written in that feedback note.
The examples are really well done. Moving the span from R(n) to R(n-1) makes the display "pop" into the lower dimension by changing color. This "snap to" feature makes the display easy to see and play with.