a11 a12 a13 b11 b12 b13 Let A a21 a22 a23 | and B b21 b22 b23 be given. Which of the following statement or a31 a32 a33 b31 b32 b33 statements are absolutely correct? I. If AB = 0, then A = 0 or B = 0. II. (A+B)² = A²+2AB + B² dir. a11 a12 a13 III. For k e R, kA = | ka21 ka ka23 a31 a32 a 33 IV. For k + 0, if A-1 exists, then (kA)-1 = }A-1. V. Trace(B) = b11 + b2 + b33 (a) II and II (b) I, II and V (c) II and III (d) IV and V (e) IV
a11 a12 a13 b11 b12 b13 Let A a21 a22 a23 | and B b21 b22 b23 be given. Which of the following statement or a31 a32 a33 b31 b32 b33 statements are absolutely correct? I. If AB = 0, then A = 0 or B = 0. II. (A+B)² = A²+2AB + B² dir. a11 a12 a13 III. For k e R, kA = | ka21 ka ka23 a31 a32 a 33 IV. For k + 0, if A-1 exists, then (kA)-1 = }A-1. V. Trace(B) = b11 + b2 + b33 (a) II and II (b) I, II and V (c) II and III (d) IV and V (e) IV
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![a11 a12 a13
b11 b12 b13
Let A
a21 a22 a23 | and B
b21 b22 b23 be given. Which of the following statement or
a31 a32 a33
b31 b32 b33
statements are absolutely correct?
I. If AB = 0, then A = 0 or B = 0.
II. (A+B)² = A²+2AB + B² dir.
a11
a12
a13
III. For k e R, kA = | ka21 ka ka23
a31
a32
a 33
IV. For k + 0, if A-1 exists, then (kA)-1 = }A-1.
V. Trace(B) = b11 + b2 + b33
(a) II and II
(b) I, II and V
(c) II and III
(d) IV and V
(e) IV](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab314851-32c9-4dae-b8e0-a27e33e1d83a%2Fb0d2ce8d-8c4a-406f-acb7-14d0da22267f%2Fbjj4fb_processed.png&w=3840&q=75)
Transcribed Image Text:a11 a12 a13
b11 b12 b13
Let A
a21 a22 a23 | and B
b21 b22 b23 be given. Which of the following statement or
a31 a32 a33
b31 b32 b33
statements are absolutely correct?
I. If AB = 0, then A = 0 or B = 0.
II. (A+B)² = A²+2AB + B² dir.
a11
a12
a13
III. For k e R, kA = | ka21 ka ka23
a31
a32
a 33
IV. For k + 0, if A-1 exists, then (kA)-1 = }A-1.
V. Trace(B) = b11 + b2 + b33
(a) II and II
(b) I, II and V
(c) II and III
(d) IV and V
(e) IV
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