Express these equations using matrices.
3x + y = 0
-x – 5y = 4
Hint
A 2 × 2 matrix will be on the left side, and a 2 × 1 will be on the right.
Answer
3x – 4y = -7
x + y = 9
2x + 2y = 11
6x – y = 3
For the matrix below, identify: a) the rows, b) the columns, and c) each entry.
Use this shorthand: e = entry, r = row, and c = column. Remember, each entry is notated as erc.
a) row 1 = a b c, row 2 = d e f, row 3 = g h i
b) column 1 = a d g, column 2 = b e h, column 3 = c f i
c) a = e11, b = e12, c = e13, d = e21, e = e22, f = e23, g = e31, h = e32, i = e33
Use this shorthand: e = entry, r = row, and c = column. You've got this.
a) row 1 = 2 7 -6, row 2 = 0 1 5, row 3 = -1 -3 2
b) column 1 = 2 0 -1, column 2 = 7 1 -3, column 3 = -6 5 2
c) 2 = e11, 7 = e12, -6 = e13, 0 = e21, 1 = e22, 5 = e23, -1 = e31, -3 = e32, 2 = e33
Use this shorthand: e = entry, r = row, and c = column. There's only one column this time.
a) row 1 = 3, row 2 = 1, row 3 = -5, row 4 = 0
b) column 1 = 3 1 -5 0
c) 3 = e11, 1 = e21, -5 = e31, 0 = e41,
You know the drill: e = entry, r = row, and c = column.
a) row 1 = 3 1 0 6
b) column 1 = 3, column 2 = 1, column 3 = 0, and column 4 = 6.
c) 3 = e11, 1 = e12, 0 = e13, 6 = e14
a) row 1 = 3 2 -2, row 2 = -1 5 0
b) column 1 = 3 -1, column 2 = 2 5, column 3 = -2 0
c) 3 = e11, 2 = e12, -2 = e13, -1 = e21, 5 = e22, 0 = e23
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