[1 0 0, 0 1 0, 0 0 1] One to One invalid #11 [1/5 0 -1/5, 3/20 1/4 -2/5, -1 0 2] [7, 5] [20 72 22, 22 80 25, 16 58 18] [1/64 3/32 9/64, -15/64 13/32 -7/64, 21/64 1/32 -3/64] cannot be one to one eqn = 0 yes [1/3 0, -7/24, 1/8] Singular Yes, infinite solutions [1/5 0 -3/5, -4/5 1/2 19/10, 0 0 1] neither One to one AND onto Onto #22 Invertibility, most reduced form, like multiplying by 1 Trivial Solution all columns have pivots [11/40 -1/8 -7/80, -3/10 1/2 1/20, -1/5 0 1/5] all rows have pivots [100, 010, 001, 000] both [10 01 00] Homogeneous only 0 solution [9,3,5] Onto #4 [6 4, 0 -2, 7 6] Ax = b has a unique solution for all b vectors, and the solution = A^-1b [100, 010, 001, 001] [60 248 100, 64 188 52, 68 296 124, 20 92 40] No [1 0 0, 0 1 0, 0 0 1] One to One invalid #11 [1/5 0 -1/5, 3/20 1/4 -2/5, -1 0 2] [7, 5] [20 72 22, 22 80 25, 16 58 18] [1/64 3/32 9/64, -15/64 13/32 -7/64, 21/64 1/32 -3/64] cannot be one to one eqn = 0 yes [1/3 0, -7/24, 1/8] Singular Yes, infinite solutions [1/5 0 -3/5, -4/5 1/2 19/10, 0 0 1] neither One to one AND onto Onto #22 Invertibility, most reduced form, like multiplying by 1 Trivial Solution all columns have pivots [11/40 -1/8 -7/80, -3/10 1/2 1/20, -1/5 0 1/5] all rows have pivots [100, 010, 001, 000] both [10 01 00] Homogeneous only 0 solution [9,3,5] Onto #4 [6 4, 0 -2, 7 6] Ax = b has a unique solution for all b vectors, and the solution = A^-1b [100, 010, 001, 001] [60 248 100, 64 188 52, 68 296 124, 20 92 40] No
(Print) Use this randomly generated list as your call list when playing the game. There is no need to say the BINGO column name. Place some kind of mark (like an X, a checkmark, a dot, tally mark, etc) on each cell as you announce it, to keep track. You can also cut out each item, place them in a bag and pull words from the bag.
[1 0 0, 0 1 0, 0 0 1]
One to One
invalid #11
[1/5 0 -1/5, 3/20 1/4 -2/5, -1 0 2]
[7, 5]
[20 72 22, 22 80 25, 16 58 18]
[1/64 3/32 9/64, -15/64 13/32 -7/64, 21/64 1/32 -3/64]
cannot be one to one
eqn = 0
yes
[1/3 0, -7/24, 1/8]
Singular
Yes, infinite solutions
[1/5 0 -3/5, -4/5 1/2 19/10, 0 0 1]
neither
One to one AND onto
Onto #22
Invertibility, most reduced form, like multiplying by 1
Trivial Solution
all columns have pivots
[11/40 -1/8 -7/80, -3/10 1/2 1/20, -1/5 0 1/5]
all rows have pivots
[100, 010, 001, 000]
both
[10 01 00]
Homogeneous
only 0 solution
[9,3,5]
Onto #4
[6 4, 0 -2, 7 6]
Ax = b has a unique solution for all b vectors, and the solution = A^-1b
[100, 010, 001, 001]
[60 248 100, 64 188 52, 68 296 124, 20 92 40]
No