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Find the value(s) of k such that the following system of equations has no solution
x + y + (k-1) = 2
kx - z = -3
6x +2y - 3z =1
One number is four times another number. Determine the two numbers of the sum of their reciprocals is 5/16
You are given the system of linear equations
"2x+ky=5, \\quad x+3y=7,"
where k is a constant.
The system above has no solution when k= _________________
Two matrices can be added if they have the same order.
True or False
You are given three matrices A, B and C. Match the corresponding properties in the two lists below (match the letters with the numbers).
- A + B =
- (A + B) + C =
- (AB)C =
- A(B + C) =
- (A + B)C =
A) A + (B+ C)
B) AC + BC
C) A(BC)
D) AB + AC
E) B + A
Which of the following statements are true with regard to Gauss elimination when solving a system of linear equations? More than one answer may be correct
- Multiply one row of the augmented matrix by a non-zero constant.
- Add or subtract a multiple of one row of the augmented matrix to or from another row, while leaving one row unchanged.
- Interchange two rows of the augmented matrix.
- The system of equations to be solved must have as many unknowns as the number of equations.
You are given two matrices
"A=\\left(\\begin{array}{cccc}-4&-4&4\\\\-1&0&1\\\\-7&-6&7\\end{array}\\right)\\quad and \\quad B =\\left(\\begin{array}{cccc}4&4&-4\\\\1&0&-1\\\\7&6&-7\\end{array}\\right)"
.
Which of the following are true? More than one answer may be correct.
"A=B\n\n\n\n\n\n\n\u200b"
"A=B^{T}"
"A=\u2212B"
"A_{22}=B_{22}"
3. Combine terms: 12a + 26b -4b – 16a.
(a) 4a + 22b,
(b) -28a + 30b,
(c) -4a + 22b,
(d) 28a + 30b.
Solution:
12a + 26b -4b – 16a.
= 12a – 16a + 26b – 4b.
= -4a + 22b.
If a, b and c are the roots of the equation x
4x(y-1)=4x
