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The number of all 3 × 3 matrices A, with entries from the set {-1, 0, 1} such that the sum of the diagonal elements of AAT is 3, is __________.
Correct answer is '672'. Can you explain this answer?
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The number of all 3 × 3 matrices A, with entries from the set {-...
If you are referring to the number of all 3-digit numbers, we can calculate it using combinatorics.
To form a 3-digit number, we have 10 choices for the hundreds place (0-9), 10 choices for the tens place (0-9), and 10 choices for the ones place (0-9).
Therefore, the total number of 3-digit numbers is 10 * 10 * 10 = 1000.
To form a 3-digit number, we have 10 choices for the hundreds place (0-9), 10 choices for the tens place (0-9), and 10 choices for the ones place (0-9).
Therefore, the total number of 3-digit numbers is 10 * 10 * 10 = 1000.
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The number of all 3 × 3 matrices A, with entries from the set {-...
tr(AAT) = a2 + b2 + c2 + d2 + e2 + f2 + g2 + h2 + i2 = 3
∴ Three among a, b, c, ... i should be 1 or -1, rest all 0.
∴ Number of ways = 9C3 × 23 = 672
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The number of all 3 × 3 matrices A, with entries from the set {-1, 0, 1} such that the sum of the diagonal elements of AAT is 3, is __________.Correct answer is '672'. Can you explain this answer?
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The number of all 3 × 3 matrices A, with entries from the set {-1, 0, 1} such that the sum of the diagonal elements of AAT is 3, is __________.Correct answer is '672'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The number of all 3 × 3 matrices A, with entries from the set {-1, 0, 1} such that the sum of the diagonal elements of AAT is 3, is __________.Correct answer is '672'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of all 3 × 3 matrices A, with entries from the set {-1, 0, 1} such that the sum of the diagonal elements of AAT is 3, is __________.Correct answer is '672'. Can you explain this answer?.
The number of all 3 × 3 matrices A, with entries from the set {-1, 0, 1} such that the sum of the diagonal elements of AAT is 3, is __________.Correct answer is '672'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The number of all 3 × 3 matrices A, with entries from the set {-1, 0, 1} such that the sum of the diagonal elements of AAT is 3, is __________.Correct answer is '672'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of all 3 × 3 matrices A, with entries from the set {-1, 0, 1} such that the sum of the diagonal elements of AAT is 3, is __________.Correct answer is '672'. Can you explain this answer?.
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