d) Let A be an m x m real matrix. If A is skew-symmetric and m is odd, then A is nonsingular. e) The dimension of the vector space of 4 x 4 real symmetric matrices is 10. e) The hyperplane r + 2y+ 3z = 5 is a vector subspace of R3 f) If the columns of A are linearly independent then AAT is always nonsingular.
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
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Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
please answer d,e,f and g. Thank you!
![Q 6
Discuss whether the following statements are True or False. Justify your answer.
a) A projection matrix P has a single nonzero eigenvalue which is 1.
b) For a complex matrix A, determinant of A and A" is always the same.
c) If A is Hermitian and Unitary then A2 = I
d) Let A be an m x m real matrix. If A is skew-symmetric and m is odd, then A is
nonsingular.
e) The dimension of the vector space of 4 x 4 real symmetric matrices is 10.
e) The hyperplane r+ 2y + 3z = 5 is a vector subspace of R
f) If the columns of A are linearly independent then AAT is always nonsingular.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14a30ae2-622b-412c-ba8c-2e78738508e1%2F7cbaa1b6-8e1d-41a7-8085-e729b65e34df%2F62188vae_processed.jpeg&w=3840&q=75)
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