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mshields1994
22.04.2020 •
Mathematics
The following is an incorrect flowchart proving that point L, lying on line LM which is a perpendicular bisector of segment JK , is equidistant from points J and K:
Segment JK intersects line LM at point N
Line LM is a perpendicular bisector of segment JK, Given. Two arrows are drawn from this statement to the following two stateme
What is the error in this flowchart? (5 points)
JL and KL are equal in length, according to the definition of a midpoint.
The arrow between ΔJNL ≅ ΔKNL and segment J L is congruent to segment K L points in the wrong direction.
An arrow is missing between the given statement and ∠ LNK ≅ ∠ LNJ..
Triangles JNL and KNL are congruent by Side-Angle-Side (SAS) Postulate instead of Angle-Angle-Side (AAS) Postulate.
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Ответ:
If A and B are equal:
Matrix A must be a diagonal matrix: FALSE.
We only know that A and B are equal, so they can both be non-diagonal matrices. Here's a counterexample:
Both matrices must be square: FALSE.
We only know that A and B are equal, so they can both be non-square matrices. The previous counterexample still works
Both matrices must be the same size: TRUE
If A and B are equal, they are literally the same matrix. So, in particular, they also share the size.
For any value of i, j; aij = bij: TRUE
Assuming that there was a small typo in the question, this is also true: two matrices are equal if the correspondent entries are the same.