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3 years ago

Determine the dimension of the vector space. M4,2

Mathematics

1 answer:

Fofino [41]3 years ago

6 0

Answer:

STEP 1

M_{4,2} is set of 4x2 matrices hence each matrix has 4*2=8 entries. Each entry can be filled independently.

Hence its basis has 8 linearly independent vectors.

STEP 2

Dimension= cardinality of basis = 8.

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20. (01.03 MC) What is the simplified expression ? (1 point)

ahrayia [7]

Answer:

$\displaystyle 3^2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Exponential Rule [Multiplying]: $\displaystyle b^m \cdot b^n = b^{m + n}$
Exponential Rule [Dividing]: $\displaystyle \frac{b^m}{b^n} = b^{m - n}$

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{3^3 \cdot 3^3}{3^4}$

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4 0

3 years ago

Please help me with this

timama [110]

Answer:

m<1 = 45°

m<2 = 76°

m<3 = 80°

Step-by-step explanation:

Points to remember

1). Vertically opposite angles are equal

2). Sum of angles of a triangles is 180°

To find the measures of given angles

From the figure we get,

m<1 = 45° [Vertically opposite angles]

By using angle sum property <2 + 59 + 45 = 180

m<2 = 180 - 104

m<2 = 76°

Also m<1 + m<3 + 55 = 180

m<3 = 180 - (m<1 + 55)

= 180 - (45 + 55)

= 180 - 100

m<3 = 80°

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3 years ago