For a system involving two variables (x and y), each linear equation determines a line on the xy-plane. Because a solution to a linear system must satisfy all of the equations, the solution set is the intersection of these lines, and is hence either a line, a single point, or the empty set
For a system involving two variables (x and y), each linear equation determines a line on the xy-plane. Because a solution to a linear system must satisfy all of the equations, the solution set is the intersection of these lines, and is hence either a line, a single point, or the empty set
This is the ppt of ch-6 of class 11 maths.If you want to get best marks in project download this ppt, i assure you that this is the best ppt from others ppt. Thank You.
This Our presentation about complex number.
This is very easy and you can explore it to all within a short time .
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This is the ppt of ch-6 of class 11 maths.If you want to get best marks in project download this ppt, i assure you that this is the best ppt from others ppt. Thank You.
This Our presentation about complex number.
This is very easy and you can explore it to all within a short time .
I think everybody like it and satisfied about this presentation.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
2. Linear Equation
a1x + b1y + c1z = d1, a2x + b2y + c2z = d2, a3x + b3y + c3z = d3.
Which of the following statements if true would imply that the above
system of equations does not have a unique solution?
i.
a1
a2
=
b1
b2
=
c1
c2
not equal to
d1
d2
ii.
a1
a2
=
a2
a3
;
b1
b2
=
b2
b3
iii. a1, a2, a3 are integers; b1, b2, b3 are rational numbers, c1, c2, c3
are irrational numbers
3. Linear Equation
If we have three independent equations, we will have a unique
solution. In other words, we will not have unique solutions if
i. The equations are inconsistent or
ii. Two equations can be combined to give the third
Now, let us move to the statements.
a1x + b1y + c1z = d1, a2x + b2y + c2z = d2, a3x + b3y + c3z = d3.
Which of the following statements if true would imply that the above
system of equations does not have a unique solution?
4. Linear Equation
Statement (i):
a1
a2
=
b1
b2
=
c1
c2
not equal to
d1
d2
This tells us that the first two equations cannot hold good at the
same time. Think about this x + y + z = 3; 2x + 2y + 2z = 5. Either the
first or the second can hold good. Both cannot hold good at the same
time. So, this will definitely not have any solution.
a1x + b1y + c1z = d1, a2x + b2y + c2z = d2, a3x + b3y + c3z = d3.
Which of the following statements if true would imply that the above
system of equations does not have a unique solution?
5. Linear Equation
Statement (ii): a1, a2, a3 are in GP, b1, b2, b3 are in GP. This does not
prevent the system from having a unique solution.
For instance, if we have
x + 9y + 5z = 11
2x + 3y – 6z = 17
4x + y – 3z = 15
This could very well have a unique solution.
a1x + b1y + c1z = d1, a2x + b2y + c2z = d2, a3x + b3y + c3z = d3.
Which of the following statements if true would imply that the above
system of equations does not have a unique solution?
6. Linear Equation
Statement (iii): a1, a2, a3 are integers; b1, b2, b3 are rational numbers,
c1, c2, c3 are irrational numbers. This gives us practically nothing. This
system of equations can definitely have a unique solution.
So, only Statement I tells us that a unique solution is impossible.
Answer choice (a)
a1x + b1y + c1z = d1, a2x + b2y + c2z = d2, a3x + b3y + c3z = d3.
Which of the following statements if true would imply that the above
system of equations does not have a unique solution?
7. Prepare for the CAT from anywhere, at
anytime, and at your pace. Visit
online.2iim.com