# A question in understanding a mistake

• transgalactic
In summary, the conversation discusses finding the values of a, b, and c that result in the maximal dimension of the kernel and image of a given operator with parameters. The solution involves creating an equation with 0 for the kernel part and transposing the matrix to find the values that result in the maximal number of independent vectors for the image part. The speaker also questions why the teacher made a mistake in both parts and asks for agreement or clarification on the question.
transgalactic
http://img88.imageshack.us/my.php?image=img86311lj7.jpg
(traverse is a typing mistake i ment transpose)

i am given an operator with parameters (the original matrix)
and i was told to find
for which values of a b c
we have the maximal dim ker t
and the the maximal dim I am t

the person who solved it ,
in the ker part he makes an equation with 0

and in the I am part he transposes the matrix and looks for what value of the parameters
we have the maximal amount of independant vectors

so why the teacher written a mistake in both parts??

Last edited:
can you tell me if you agree with me
or you don't understand the question
i'll refrase it
if needed

## What is a mistake?

A mistake is an action or decision that is incorrect or not intended, resulting in a negative consequence.

## Why do people make mistakes?

People make mistakes due to a variety of reasons such as lack of knowledge, miscommunication, carelessness, or external factors.

## How can we learn from our mistakes?

Learning from mistakes involves acknowledging the mistake, understanding the root cause, and making necessary changes to prevent it from happening again.

## Is it important to admit our mistakes?

Yes, admitting our mistakes is important because it shows honesty and accountability. It also allows for learning and growth.

## What are some strategies for avoiding mistakes?

Some strategies for avoiding mistakes include double-checking work, seeking guidance from others, and continuously learning and improving skills.

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