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Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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
Transcribed Image Text:Apply the following elementary row operations to the matrix
(a) R₁
R₁ - 5 R₂
(b) R₁ R₂
(c) R₁
-4 R₁
-4
5
3
-5 5
1
-3
0
-2
4 -4 5
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- For the following system of equations: X1 + 3x2 + x3 = -10 4x1 – 2x2 + 2x3 = -16 2x1 + x3 = -9 А. Find the PLU factorization of the coefficients matrix. Verify that PA = LU where L is a strict lower triangle matrix. Solve the system using the PLU factorization you found in part (a). В. С.arrow_forwardSuppose that A is a 3×3 matrix and det (A)=-3. What is det (4A)? Select one: O a. -3/4 O b. -3 О с. -12 O d. -192arrow_forwardneed Helparrow_forward
- The figure to the right shows the letter L in a rectangular coordinate system. The figure can be represented by the matrix B, shown to the right. Each column in the matrix describes a point on the letter. The order of the columns shows the direction in which a pencil must move to draw the letter. The L is completed by connecting the last point in the matrix, (0,9), to the starting point, (0,0). Use these ideas to complete parts (a) and (b) below. a. If A = AB - 1 0 [!!] 0 1 find AB. (Simplify your answer.) b. Graph the object represented by matrix AB. What effect does the matrix multiplication have on the letter L represented by matrix B? Choose the correct graph below. A. O B. Rotates the letter L about the origin. Reflects the letter L across the x-axis. O C. Q 077 11 0 B-[07718] 001 199 B= Reflects the letter L across the y-axis.arrow_forwardWHe-the sytems of equations as an augmented "matrix X-34-32= - -5X-3+57=-a (-bX-5y42=-learrow_forwardSupposed someone tried to solve the following system of equations (presented in the attactched image) by determining the inverse of the matrix of coefficients and then using matrix multiplication with desmos. But that person was not successful. Explain what happened incorrectly and offer a suggestion to fix the mistake.arrow_forward
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