Rewrite the sentence, adding parentheses to improve the clarity.

No person at least no sensible person could accuse Cummings of being a conformist.

Assume that a system Ax=b of linear equations has at least two distinct solutions y and z. (a) Show that

$$\mathbf { x } _ { k } = \mathbf { y } + k ( \mathbf { y } - \mathbf { z } )$$

is a solution for every k. (b) Show that

$$\mathbf { x } _ { k } = \mathbf { x } _ { m }$$

implies k=m. (c) Ax=b has infinitely many solutions.

Let $\lambda_1, \lambda_2 \ldots, \lambda_k$ be distinct eigenvalues of a matrix A with associated eigenvectors $\mathbf{x}_1, \mathbf{x}_2, \ldots, \mathbf{x}_k$. Show that $\mathbf{x}_1, \mathbf{x}_2, \ldots, \mathbf{x}_k$ are linearly independent. (Hint: See the proof of Theorem 8.5.)

Prove for any set S = {a, a + 1, . . . , a + 5} of six integers where 6|a that $24 |\left(x^{2}-y^{2}\right)$ for distinct odd integers x and y in S if and only if one of x and y is congruent to 1 modulo 6 while the other is congruentto 5 modulo 6.

Use the discriminant to determine the number and type of solutions for $9 x^2-6 x=-4$.

Find an example that meets the given specifications. Two vectors $u_1$ and $u_2$ in $R^3$ that span the set of all vectors of the form $v = (v_1, v_2, 0).$

Escribe la forma femenina de la siguiente palabra.

el héroe:________

In each exercise, consider the initial value problem $\mathbf{y}^{\prime}=A \mathbf{y}, \mathbf{y}(0)=\mathbf{y}_0$ for the given coefficient matrix $A$. In each exercise, the matrix $A$ contains a real parameter $\mu$. (a) Determine all values of $\mu$ for which $A$ has distinct real eigenvalues and all values of $\mu$ for which $A$ has distinct complex eigenvalues. (b) For what values of $\mu$ found in part (a) does $\sqrt{y_1(t)^2+y_2(t)^2} \rightarrow 0$ as $t \rightarrow \infty$ for every initial vector $\mathbf{y}_0$ ?

$$A=\left[\begin{array}{cc}-3 & -\mu \\ \mu & 1\end{array}\right]$$

(I) Show that the kinetic energy $K$ of a particle of mass $m$, moving in a circular path, is $K=L^2 / 2 I$, where $L$ is its angular momentum and $I$ is its moment of inertia about the center of the circle.

What type of context clue in the sentence can be used to determine the meaning of guile?

Solve the equation and state the number and type of roots:$2 x^2+x-6=0$

Plot the ordered pair given below in a coordinate plane.

$$C(-1,2)$$

What are three common ways to categorize angiosperms ?

Write the correct end punctuation, and identify the sentence type.

Where are we now