Matrices and Determinants: Rows and Columns

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What is the order of the matrix B?

1-by-1

3-by-3

2-by-3 (correct)

2-by-2

What is the null matrix of order 1-by-2?

[0; 0] (correct)

[0; 0; 0]

[0 0 0]

[0 0]

What is the transpose of a matrix A obtained by?

Adding the rows with columns

Interchanging the rows with columns

Multiplying the rows with columns

Interchanging the columns with rows (correct)

What is a matrix called if each of its entries is 0?

Both a and b Signup and view all the answers

What is the order of the transpose of a matrix A, if A is of order 2-by-3?

3-by-2 Signup and view all the answers

What is the notation for the transpose of a matrix A?

At Signup and view all the answers

What is the value of the base 'e' in theoretical investigations in science and engineering?

2.7182818 Signup and view all the answers

In logarithms, what happens when you add the logarithms of two numbers?

Addition Signup and view all the answers

What is the result of multiplying logₐ(m) and logₐ(n)?

logₐ(m) - logₐ(n) Signup and view all the answers

If logₐ(m) = 2.5 and logₐ(n) = 1.8, what does logₐ(mn) equal to?

4.3 + 1.8 Signup and view all the answers

What is the result of 10^3.5621 when evaluated?

30357.21 Signup and view all the answers

To find the product of two numbers using logarithms, which rule is illustrated by logₐ(mn) = logₐ(m) + logₐ(n)?

Rule of Multiplication Signup and view all the answers

What is the order of matrix A in the given text?

3-by-3 Signup and view all the answers

How many columns are there in matrix B?

3 Signup and view all the answers

What are equal matrices according to the given text?

Matrices with equal order and equal corresponding elements Signup and view all the answers

Which of the following is not a requirement for equal matrices?

Unequal order Signup and view all the answers

What is the order of matrix L in the given text?

Cannot be determined with the given information Signup and view all the answers

If matrix M has m rows and n columns, how is its order specified?

m-by-n Signup and view all the answers

Who prepared logarithm tables using base 'e'?

John Napier Signup and view all the answers

Antilogarithm tables were prepared by:

Jobst Burgi Signup and view all the answers

What is the scientific notation for the distance from Earth to the Sun, approximately 150,000,000 km?

$1.5 \times 10^{8}$ km Signup and view all the answers

Which of the following numbers is not written in scientific notation?

$0.0008 \times 10^{6}$ Signup and view all the answers

Who prepared logarithm tables using base 10?

Henry Briggs Signup and view all the answers

What is the weight of a hydrogen atom in scientific notation?

$1.7 \times 10^{-24}$ gm Signup and view all the answers

In the context of algebraic expressions, what is the product of (4x + 7y) and (16x^2 - 28xy + 49y^2)?

64x^3 + 343y^3 Signup and view all the answers

Matrices and Determinants: Rows and Columns

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