determinant area 93 videos
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Area With Determinants
Precalculus Systems of Linear Equations and Matrices
How to compute the area of a parallelogram using a determinant.
parallelogram vectors determinant area -
2x2 Determinants
Precalculus Systems of Linear Equations and Matrices
How to compute the determinant of a 2x2 square matrix.
square matrices determinant 2x2 determinant -
3x3 Determinants
Precalculus Systems of Linear Equations and Matrices
How to compute the determinant of a 3x3 square matrix using minors by expanding along the top row.
square matrices determinant 3x3 determinant minor of an element -
Invertible Square Matrices and Determinants
Precalculus Systems of Linear Equations and Matrices
How to determine whether a square matrix is invertible using its determinant.
square matrices invertible determinant zero determinant inverse of a 2x2 matrix -
Area of Triangles
Geometry Area
How to derive the area of a triangle formula using the rectangle area formula.
area triangles rectangles altitude -
Area of Parallelograms
Geometry Area
How to find the area of any parallelogram using rectangle area formulas.
area of rectangles base times height -
Area of a Segment
Geometry Area
How to derive the area of a segment formula.
segment sector triangle area radius central angle shaded area -
Area of Circles
Geometry Area
How to derive the formula to calculate the area of a circle.
circle radius circumference area -
Surface Area of Cylinders
Geometry Area
How to prove the surface area of a cylinder formula.
circle lateral area circumference -
Surface Area of Spheres
Geometry Volume
How to calculate the surface area of a sphere given a radius.
sphere surface area radius -
Definite Integrals and Area
Calculus The Definite Integral
How to use definite integrals to find the area between a curve or under a curve.
definite integral area problems area between curves -
Surface Area of Cones
Geometry Area
How to calculate the surface area of any cone explaining lateral surface area.
cone circle circumference lateral area lateral edge -
Surface Area of Prisms
Geometry Area
How to calculate the surface area of any prism.
prism 3d bases lateral faces lateral area surface area -
Simplifying Determinants
Precalculus Systems of Linear Equations and Matrices
How to simplify determinants using three row (or column) operations.
determinant row operations column operations interchanging rows common factors adding a multiple of one row to another -
Area of a Sector
Geometry Area
How to derive the formula to calculate the area of a sector in a circle.
sector central angle intercepted arc circle radius area -
Similarity and Area Ratios
Geometry Similarity
How to convert between length and area ratios of similar polygons
polygons similar area ratios -
Multiplying Polynomials using Area Models
Algebra Polynomials
How to relate area of rectangles to multiplying polynomials.
area binomial trinomial distributing -
Surface Area of Joined Solids
Geometry Area
How to calculate the surface area of a cylinder joined to a cone.
joined solid cone cylinder lateral area circle -
Surface Area of Pyramids
Geometry Area
How to calculate the surface area of any pyramid, emphasizing regular polygons as bases.
regular polygon lateral area apothem -
Using Sine to Calculate the Area of a Triangle
Geometry Basic Trigonometry
How to calculate the area of any triangle using two sides and an included angle.
area of a triangle sine
